The differential equation whose general solution is given by `y=c_1cos(x+c_2)-c_3e^((-x+c4))+(c_5sinx),` where `c_1,c_2,c_3,c_4,c_5` are arbitrary constants, is

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.

The order of the differential equation whose general solution is given by y=(C_1+C_2)cos(x+C_3)-C_4e^(x+C_5), where C_1,C_2,C_3,C_4,C_5 , are arbitrary constants, is (a) 5 (b) 4 (c) 3 (d) 2

The differential equation of the curve x/(c-1)+y/(c+1)=1 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 equaiotn which represents the family of curves y=C_(1)e^(C_(2)x) , where C_(1) and C_(2) are arbitrary constants, is

From the differential equations by eliminating arbitrary constants given in bracket Y=e^(3x)" "(Ccos2x+Dsin2x) , {C, D}.

Which of the following differential equations has y = c_(1)e^(x) + c_(2)e^(-x) as the general solution?

The differential equation corresponding to xy=c^(2) where c is an arbitrary constant is ________

Verify that the function y = c_(1) e^(ax) cos bx + c_(2)e^(ax) sin bx , where c_(1),c_(2) are arbitrary constants is a solution of the differential equation (d^(2)y)/(dx^(2)) - 2a(dy)/(dx) + (a^(2) + b^(2))y = 0