If `y=e^(ex) (ax+b)`, show that `y^2-4y_1+4y=0`

Similar Questions

Explore conceptually related problems

If y=e^(2x)(ax+b), show that y_(2)-4y_(1)+4y=0

If y=e^(2x)(a x+b) , show that y_2-4\ y_1+4\ y=0 .

If y= e^(ax) sin(bx), show that y2 - 2ay1 + ( a^2 + b^2 ) y = 0

IF y=e^(-x)(cosx+sinx) , show that , y_2+2y_1+2y=0 .

If y=e^(ax)sinbx show that y_2-2ay_1+(a^2+b^2)y=0 .

If y= A e^(mx) + B e^(nx) , show that y2-(m+n)y1+(mn)y =0

If y= e^(ax) sin bx then show that, y_(2)- 2ay_(1) + (a^(2) + b^(2))y= 0

If y = e^(-ax) cos (bx + c) , show that (d^2y)/(dx^2) + 2a(dy)/(dx) + (a^2 + b^2) y = 0

If y=e^(ax)sin bx, then prove that y_(2)-2ay_(1)+(a^(2)+b^(2))y=0

If 2y= sqrt (x+1) + sqrt (x-1) , show that 4( x^2 -1) y2 + 4xy1 - y = 0