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Will someone please help me solve these problems!!
1) Find the particular solution of the differential equation (dy/dx)= (x-5)e^(-2y)
satisfying the initial condition y(5)=ln(5).
2) Find f(x) if y=f(x) satisfies (dy/dx)=18y(x^5) and the y-intercept of the curve is y=f(x) is 5.
3) Solve the separable differential equation (dy/dx)=0.4y, and find the particular solution satisfying the initial condition y(0)= -2.
Last edited by s0rcerer13 (2005-11-28 13:20:14)
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There're very simple.
The first one can be rewritten as follows:
Then all you have to do is integrate each side.
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