I would like to understand my calc homework:/

posted by .

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 tangent line equation to estimate the value of f(1.2).
C) find the particular solution y=f(x) to the differential equation with the initial condition f(1)=1. Use your solution to find f(1.2).
D) compare your estimate of f(1.2) found in part b to the actual value of f(1.2)
E) was the estimate under or over? Use the slope field to explain why?

  • I would like to understand my calc homework:/ -

    You need to have patience and not post the same stuff umpteen times. The tutors who concentrate on this type of math are not online yet.

  • I would like to understand my calc homework:/ -

    Please do not keep posting the same question over and over. It's considered spamming and could get you banned from posting here.

  • I would like to understand my calc homework:/ -

    B)
    at (1 , 1) dy/dx = slope = 1*1/2 = .5
    so
    y = .5 x + b is tangent for some b
    put in (1 , 1 )
    1 = .5 + b
    b = .5
    so tangent at (1,1) is
    y = .5 x + .5
    at x = 1.2
    y = .5(1.2) + .5 = 1.1
    ==========================
    C)
    dy/y = (1/2) x dx

    ln y = (1/4) x^2 + C
    y = k e^(x^2/4)

    1 = k e^(1/4)
    1 = 1.28 k
    k = .779

    y = .779 e^(x^2/4)
    at x = 1.2
    y = .779 e^(1.44/4)
    y = .779 * 1.433
    y = 1.116
    etc

  • I would like to understand my calc homework:/ -

    Do not panic. Plug and chug.

  • I would like to understand my calc homework:/ -

    I think the whole non panicing ship sailed a long time ago haha. Sorry and thanks for the help!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus-differential equation

    Consider the differential equation: (du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=?
  2. calc

    Find an equation of the tangent line to the curve at the given point. y = 6 x sin x P= (pi/2 , 3pi) i know the slope of a tangent line is equal to the first derivative. For that I got 6xcosx + 6sinx but idk how to put that into the …
  3. Calculus: for mathmate

    Find the slope of the tangent line to the graph of the given function at any point: 1. f(x)= 13 I understand that you said the tangent to the line is the coefficient of x, but what would be the slope of this problem. For problems like …
  4. Calc

    Let f be the function that contains the point (-1,8) and satisfies the differential equation dy/dx=10/(x^2+1) (a) Write the equation of the tangent to f at x=-1. (b) Use your equation in part a to estimate f(0). (c) We know that the …
  5. calc

    The differential equation dy dx equals the quotient of x and y squared. will have a slope field with negative slopes in quadrant I will have a slope field with positive slopes in all quadrants will produce a slope field with columns …
  6. Calc 2

    Find the solution of the differential equation that satisfies the given initial condition. dy/dx= x/y, y(0) = −7
  7. Calc 2

    Find the solution of the differential equation that satisfies the given initial condition. du/dt= (2t + sec^2(t))/(2u), u(0) = −4
  8. 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)?
  9. calculus

    Hello there, assistance would be terrific, thank you very much. Consider the function f(x)= x^3 + 2x^2 + bx. a) The equation of the tangent line to the graph of this function at x = 1 is given by y = ?
  10. Math (equation of tangent line)

    Consider the implicit equation 2xy-1=(x+y+1)^2 a) Compute and solve for the derivative dy/dx as a function of x and y. b) Find the equation of the tangent line to the graph of the above when y=-1. For part a, I found the derivative …

More Similar Questions