" 30."(x+1)(dy)/(dx)=2e^(-y)-1,y(0)=0

Find the particular solution of the following : (x+1)(dy)/(dx)=2e^(-y)-1,y(0)=0 .

Solve the following initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,y=(0)=0

Solve the initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,\ y(0)=0

(x+1)(dy)/(dx) -1 = 2e^(-y) , y=0, " when " x=1

Solve (dy)/(dx)-y=e^(x) ,y(0)=1

Solve the following differential equation (5) (x+1)dy/dx-1=2e^(-y),y=0, when x=1,y=0.

The solution of (dy)/(dx) -y=e^(x) , y(0) = 1 , is

The solution of (dy)/(dx) -y=e^(x) , y(0) = 1 , is

For each of the following initial value problems verify that the accompanying functions is a solution. (i) x(dy)/(dx)=1, y(1)=0 => y=logx (ii) (dy)/(dx)=y , y(0)=1 => y=e^x (iii) (d^2y)/(dx^2)+y=0, y(0)=0, y^(prime)(0)=1 => y=sinx (iv) (d^2y)/(dx^2)-(dy)/(dx)=0, y(0)=2, y^(prime)(0)=1 => y=e^x+1 (v) (dy)/(dx)+y=2, y(0)=3 => y=e^(-x)+2