" Q.5"y=2e^(2x)-e^(2-x)" is a solution of the differential equation "

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

Show that x y=a e^x+b e^(-x)+x^2 is a solution of the differential equation x(d^2y)/(dx^2)+2dy/dx-x y+x^2-2=0.

Show that y=(a+bx)e^(2x) is a solution of the differential equation y''-4y'+4y=0.

Verify that y = e^(-2x) is a solution of the differential equation y'' + 4y'' - 3y' - 2y = 0 .

Verify that y = e^(-2x) is a solution of the differential equation y''' + 4y'' + 3y' - 2y = 0 .

True or false: y=13e^x+4e^-x is a particular solution of the differential equation (d^2y)/(dx^2)-y=0

Show that y=e^(-x)+mx+n is a solution of the differential equation e^(x)(d^(2)y)/(dx^(2))-1=0.

Cheak whether y=e^(-x)+2 is a solution of the differential equation y_(1)+y=2.

The solution of the differential equation (dy)/(dx)=e^(2x+y) is