The set of solutions of the initial - value problem:

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

choose one answer:

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

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Question 2

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

such that y=-1 at pi/3

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

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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: