The set of solutions of the initial - value problem:

http://www11.0zz0.com/2009/05/02/16/649131474.jpg

for x=0, when y=1 satisfy the equation :

choose one answer:

http://www11.0zz0.com/2009/05/02/17/571671694.jpg

I try to solve this question,but I feel my solution is false ..

http://www11.0zz0.com/2009/05/02/19/183360438.jpg

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Question 2

The particular solution of differential equation dy/dt=sin 3t

such that y=-1 at pi/3

http://www11.0zz0.com/2009/05/02/18/893356595.jpg

I select the first answer and this is my solution ..

http://www11.0zz0.com/2009/05/02/19/667636082.jpg

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Question 3

Solve the differential equation:dy/dx=f(x)

f(x)=16-x^2

subject to the condition y(3)=0

My solution:

http://www11.0zz0.com/2009/05/02/19/250526552.jpg