If `y=a e^(5x)+b e^(-5x),` then find differential equation

y=2e^(2x)-e^(-x) is a solution of the differential equation

If y = y (x) is the solution of the differential equation (5 + e^(x))/(2 + y) * (dy)/(dx) + e^(x) = 0 satisfying y(0) = 1 , then a value of y (log _(e) 13) is :

If y=y(x) is solution of differential equation (5+e^(x))/(2+y) (dy)/(dx)=e^x and y(0)=4 than find y(log_e 13)

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x+y)+x^(2)e^(y)

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x-y)+x^(2)e^(-y)

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x+y)+e^(x-y)

Find order and degree of given differential equation y' + y = e^(x)

find the general solution for the differential equations y = e^(x)(a cos x + b sin x)

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.