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Math Help - Solving differential equations

  1. #1
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    Solving differential equations

    Find the specific solution for the following differential equations:
    a) (dy/dx)^2 - x^4 = 0 given the initial value y(1) = 0

    b) dy/dx = ysinx given the initial value y(pi) = 1
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by PurplePenguin View Post
    Find the specific solution for the following differential equations:
    a) (dy/dx)^2 - x^4 = 0 given the initial value y(1) = 0
    Rearrange to get \frac{\,dy}{\,dx}=x^2

    This should be easy enough to solve now...

    b) dy/dx = ysinx given the initial value y(pi) = 1
    Apply separation of variables to get \frac{\,dy}{y}=\sin x\,dx

    Now integrate both sides and then solve for y.

    In both of these, apply the initial condition after you have integrated and solved for y. This will help you determine the value of the arbitrary constant C.

    --Chris
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