How to find the exact solution of this equations?

Question:How to find the exact solution of this equations?

Posted: Heeka 20 Product: Maple 13

October 03 2013

How to find the exact solution from this equations?

1. (x+epsilon*y)dy/dx + y =0 y(1)=1

2. (x^n + epsilon * y)dy/dx + nx^(n-1) * y = m*x^(m-1) y(1)=b>1 ; n=2,3,4,... ; m=0,1,2,3,...

3. u" + u + epsilon*u^3 = 0 u(0)=A ; u'(0)=0

4. y" + 2(y')^2 +3y' = -sin x ; y(0)=1 ; y'(0)=0

thanks in advance..

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