Question

1.Solve the following initial value problem a) dy/dx= y2/(x-3), with y(4)=2 b) (sqrt(x)) dy/dx = ey+sqrt(x),...

1.Solve the following initial value problem

a) dy/dx= y2/(x-3), with y(4)=2

b) (sqrt(x)) dy/dx = ey+sqrt(x), with y(0)= 0

2. Find an expression for nth term of the sequence

a) {-1, 13/24, -20/120, 27/720, ...}

b) {4/10, 12/7, 36/4, 108, ...}

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