`cos(dy/dx)=a(acR), y=1when x=0`

Find the particular solution, satisfying the given condition, for the following differential equation: (dy)/(dx)-y/x+cos e c\ (y/x)=0; y=0 when x=1

Solve: (d^2y)/dx^2=e^x(sinx+cosx) , given that y=1 and (dy)/(dx)=0 , when x=0

Solve the following differential equation: (d^2y)/dx^2=e^x+cosx , given that (dy)/(dx)=1=y , when x=0

dy/dx cos(x-y) = 1

If dy/dx=e^(-2y) and y=0 when x=5, then the value of x for y=3 is

Solve: (d^2y)/dx^2=x+sinx , given that y=0 and (dy)/(dx)=-1 when x=0

Solve the differential equation x(x^2-1)(dy)/(dx)=1 , given that when x=2, y=0 .

Solve the differential equation x(d^2y)/dx^2=1 , given that y=1, (dy)/(dx)=0 when x=1

Solve: (d^2y)/dx^2=logx , given that y=1 and (dy)/(dx)=-1 when x=1

Find (dy)/(dx) , when x=a\ cos^3t and y=at .