Find the differential equation for which the following value of `y` is the general solution: `y=(c_1 cos x + c_2 sin x) e^(-x) + c_3 e^x`

D.E whose solution is y=e^(3x)(c_(1)cos x+c_(2)sin x)

The order of the differential equation whose general solution is y = c_(1) cos 2x + c_(2) cos^(2) x + c_(3) sin^(2) x + c_(4) is

What is the order of the differential equation whose general solution is y=c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c6) ?

The differential equation whose general solution is, y=c_(1)sin x+c_(2)cos x where c_(1) and c_(2) are parameters,is

The differential equation whose general solution is, y=c_(1)sin x+c_(2)cos x where c_(1) and c_(2) are parameters,is

Differential equation whose general solution is y=c_(1)x+(c_(2))/(x) for all values of c_(1) and c_(2) is

Statement 1: The order of the differential equation whose general solution is y==c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c_(0)) is 3. Statement 2: Total number of arbitrary parameters in the given general solution in the statement ( 1) is 3.

Find the differential equation whose general solution is given by y=(c_(1)+c_(2))cos(x+c_(3))-c_(4)e^(x+c) , where c_(1),c_(2), c_(3), c_(4), c_(5) are arbitary constants.

Find the differential equation by eliminating arbitrary constants from the relation y = (c_(1) + c_(2)x)e^(x)

The order of the differential equation whose general solution is given by y= (C_1 + C_2 ) cos ( x + C _3) - C _4 e^(x+ c_5), where C_1 , C_2, C_3, C_4 , C_5 are aritrary constants , is :