calculus

posted by .

solve the initial value problem by separation of variables 8. dy/dx=x+1/xy, x>0, y(1)=-4

  • calculus (()) -

    Please check that you have sufficient parentheses.
    The problem posted (implicitly) is
    dy/dx = x+ (1/xy) which is not easily separable.

    I assume you wished to post:
    dy/dx = (x+1)/xy
    which can be separated as:
    ydy = (x+1)dx/x = (1+1/x)dx
    which can be easily integrated on both sides. The constant of integration can be obtained by substitution of the initial condition y(1)=-4.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    solve the initial value problem by separation of variables dy/dx=y^(2)+1, y(1)=0
  2. separation of variables

    solve the initial value problem by separation of variables dy/dx=x2/y given y=-5 when x=3
  3. calculus

    how do you solve the initial value problem by using separation of variables dy/dx=1/y^2, y(0)=4
  4. calculus

    how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9
  5. calculus

    solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4
  6. calculus

    solve the initial value problem by separation of variables dy/dx=-xy^2, y(1)=-0.25
  7. calculus

    solve the initial value problem by separation of variables dy/dx=-xy^2, y(1)=-0.25
  8. calculus

    solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4
  9. calculus

    how do you solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4
  10. calculus

    how do you solve the initial value problem by using separation of variables dy/dx=-xy^2 when y(1)=-0.25

More Similar Questions