maths

posted by .

give the solution of the initial-value problem
dy/dx=(1+2cos^2(x))/y, (y > 0), y= 1 when x = 0.
Thanks.

  • maths -

    Is it an answer on my question?

    2cos^2(x)=1+cos(2x)
    ydy=(2+cos(2x))dx integrating
    y^2/2=2x+sin(2x)/2+C Find C
    1/2=C

    y=sqrt(4x+sin(2x)+1)

  • maths -

    Thats right.
    Thank you.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus maths

    Hi can some one help, explain the following please. I seem to have issues with this: 1- Find the corresponding particular solution (in implicit form) that satisfies the initial; condition y = when x = 0. 2- Find the explicit form of …
  2. maths

    Hi Looking for some guidance please, I need to find the initial-value problem for dy/dx = 1+2cos^2x / y. y = 1 when x = 0. any help is much appricated regards CLAIRE
  3. maths

    Looking for some guidance please, I need to find the initial-value problem for dy/dx = 1+2cos^2x / y. y = 1 when x = 0. any help is much appricated
  4. calculus

    Please help find the solution to the initial value problem dy/dx=(1+2cos^2 x)/y with(y>0), and y=1 when x=0. Thanks.
  5. maths

    give the solution of the initial-value problem dx/dy=(1+2cos^2(x))/y, (y > 0), y= 1 when x = 0. Thanks.
  6. math

    Consider the initial value problem, f(x,y) = y(18.06 - y), y(0) = 12. The exact solution of the problem increases from y(0) =12 to y = 18.06 as x increases without limit. Determine the minimum upper bound of h for the classical 4th-order …
  7. Differential Equations (Another) Cont.

    For the following initial value problem: dy/dt=1/((y+1)(t-2)) a)Find a formula for the solution. b) State the domain of definition of the solution. c) Describe what happens to the solution as it approaches the limit of its domain of …
  8. Differential Equations

    For the following initial value problem: dy/dt=1/((y+1)(t-2)), y(0)=0 a)Find a formula for the solution. b) State the domain of definition of the solution. c) Describe what happens to the solution as it approaches the limit of its …
  9. Maths

    An initial-value problem is given by the differential equation, f(x,y) = –20xy2, y(1) = 1. Use the classical fourth-order Runge-Kutta method with a step-size of h = 0.02, to obtain the approximate value of y(1.02). Give your answer …
  10. Math

    Determine the solution of the equetion: 2cos x-1=0?

More Similar Questions