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(Solved): Question 3: 40 Marks Solve the following initial value problems. (dy)/(dx)=(2x+1)/(2y) y(-2)=-1 (dy) ...
Question 3: 40 Marks
Solve the following initial value problems.
(dy)/(dx)=(2x+1)/(2y)
y(-2)=-1
(dy)/(dt)=4(y^(2)+1)
y((\pi )/(4))=1
(dN)/(dt)=(N-1)^(2)+0.01
N(0)=1
(\sqrt(1-t^(2)))(dN)/(dt)=\sqrt(1-N^(2))
N(0)=(\sqrt(3))/(2)