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Solve the separable differential equation 10x−6ysqrt(x^2+1)dy/dx=0. with the initial condition y(0)=4.

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  1. Calculus

    Solve the separable differential equation 10x−6ysqrt(x^2+1)dy/dx=0. with the initial condition y(0)=4.
  2. Calculus

    Solve the separable differential equation 11x-6ysqrt(x^2-1)dy/dx=0.with the initial condition y(0)=8
  3. PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!

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  4. Calculus

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  5. Calculus

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  6. Calculus - Differential Equations

    Find the particular solution of the differential equation that satisfies the initial condition. Write it out as an equation Differential Equation: 20xy' - ln(x^5) = 0, x>0 Initial condition: y(1) = 13
  7. Calculus!!

    Consider the differential equation given by dy/dx = xy/2. A. Let y=f(x) be the particular solution to the given differential equation with the initial condition. Based on the slope field, how does the value of f(0.2) compare to f(0)? Justify your answer.
  8. Calculus

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  9. O.D.E

    If someone can help me with this ODE I would greatly appreciate it. Thank you in advance! ------ Consider the differential equation dx/dt = 1/2x This is a separable O.D.E., so we know how to find all of its solutions: they are of the form x(t) = sqrt(t+c)
  10. Differential Equations

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  11. Calculus

    solve each differential equation, applying the initial condition when provided. dy/dx=e^x/2y and dy/dx=3y y(0)=5
  12. Help! Calculus

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  13. Calculus

    For Questions 1–2, use the differential equation given by dy/dx = xy/3, y > 0. 1. Complete the table of values x -1 -1 -1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx 2. Find the particular solution y = f(x) to the given differential equation with the initial
  14. Calculus

    For Questions 1–2, use the differential equation given by dy/dx = xy/3, y > 0. 1. Complete the table of values x -1 -1 -1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx 2. Find the particular solution y = f(x) to the given differential equation with the initial
  15. calculus

    Solve the differential equation below, given the initial condition f(0) = 3. Express your answer using words or symbols. y=-5x^2
  16. Calculus

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  17. Calculus

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  18. Calculus

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  19. Calculus - Seperable Equations

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  20. Calc

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  21. Calculus

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  22. Calculus

    Consider the differential equation dy/dx = x^4(y - 2). Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 0. Is this y=e^(x^5/5)+4?
  23. CALCULUS

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  24. Calculus

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  25. math

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  26. CALCULUS

    Using separation of variables technique, solve the following differential equation with initial condition dy/dx = (yx + 5x) / (x^2 + 1) and y(3) = 5. The solution is: a.) y^2 = ln(x^2 + 1) + 25 - ln10 b.) ln(abs(y+5)) = ln(x^2 + 1) c.) ln(abs(y+5)) =
  27. Calculus

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  28. Calculus

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  29. ap calculus

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  30. Calculus

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  31. Calculus

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  32. calculus

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  33. calculus

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  34. Mathematics - Calculus

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  35. ap calculus

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  36. math

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  37. Calculus

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  38. calculus

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  39. Calc 2

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  40. calculus

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  41. calculus

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  42. Calc 2

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  43. Calculus

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  44. Math

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  45. math

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  46. Calculus I'm really confused

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  47. calculus-differential equation

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  48. Calculus II

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  49. Calc

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  50. Calculus

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  51. calculus

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  52. Calculus

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  53. Calculus - Differential Equations

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  54. Calculus

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  55. Calculus

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  56. calculus

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  57. calculus

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  58. calculus

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  59. math

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  60. Calculus - Differential Equations

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  61. calculus

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  62. Calculus

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  63. Engineering Math

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  64. calcq

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  65. I would like to understand my calc homework:/

    Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your
  66. Algebra

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  67. Calculus - HELP URGENT PLEASE

    Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed throughout the lake with a concentration y(t)/12200 tons/km^3. assume that fresh water enters the lake at a rate of 67.1 km^3/yr,
  68. AP Calc Help!!

    Let f be the function satisfying f'(x)=x√(f(x)) for all real numbers x, where f(3)=25. 1. Find f''(3). 2. Write an expression for y=f(x) by solving the differential equation dy/dx=x√y with the initial condition f(3)=25. Please show work and reasoning.
  69. Differential Equation 4

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  70. calculus

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  71. Mathematics

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  72. Calculus

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  73. Calculus

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  74. Calculus

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  75. Calculus

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  76. Differential Equations

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  77. maths

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  78. Calculus

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  79. Calculus

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  80. math

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  81. Math/Calculus

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  82. Calc

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  83. Calc 2

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  84. Calc 2

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  85. Maath

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  86. Differential Equations

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  87. Differential eqns

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  88. Differental Equations

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  89. Math

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  90. Differential Equations

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  91. Pre-algebra

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  92. Maths

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  93. Calc 2

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  94. Calculus-HELP!!!

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  95. STEVE or REINY-plz help!

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  96. Calculus

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  97. calculas

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  98. Calculus

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  99. Calculus

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  100. mathematics

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