I'm going to look at the first question first.
Integrate and get
If is satisfied, we have .
So we have
The other two look fine.
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: