If `y=e^(4x)+2e^(-x)` satisfis the differential equation `y_3+Ay_1+By=0` then

If y=e^(4x) + 2e^(-x) satisfies the relation y_3 + Ay_1 + By = 0 then

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

If the function y=e^(4x)+2e^(-x) satisfies the differential equation (d^(3)y)/(dx^(3))+A(dy)/(dx)+By=0 , then (A,B)-=

If y=c_(1)e^(2x)+c_(2)e^(x)+c_(3)e^(-x) Satisfies the differential equation (d^(3)y)/(dx^(3))+a(d^(2)y)/(dx^(2))+b(dy)/(dx)+cy=0 , then value of (a^(3)+b^(3)+c^(3))/(abc)=

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

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c x and y(0)=0 , then

If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c x and y(0)=0 , then