Home
Class 12
MATHS
If y=e^x(sinx+cosx) prove that (d^2y)/(d...

If `y=e^x(sinx+cosx)` prove that `(d^2y)/(dx^2)-2(dy)/(dx)+2y=0` .

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 15

    ICSE|Exercise SECTIONS-B|10 Videos

  • MODEL TEST PAPER 15

    ICSE|Exercise SECTIONS-C|11 Videos

  • MODEL TEST PAPER -19

    ICSE|Exercise SECTION A|1 Videos

  • MODEL TEST PAPER 20

    ICSE|Exercise SECTION C |10 Videos

Similar Questions

Explore conceptually related problems

If y=e^x(sin x+cosx) prove that (d^2y)/(dx^2)-2 (dy)/(dx)+2y=0 .

If y=sin(logx) , prove that x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

If y = e^(x) (sin x + cos x ) , prove that (d^(2) y)/( dx^(2)) - 2 (dy)/( dx) + 2 y = 0

If y= cot x, prove that (d^(2)y)/(dx^(2)) + 2y (dy)/(dx)= 0.

If y=e^(ax) sin bx then prove that (d^2y)/(dx^(2))-2a(dy)/(dx)+(a^(2)+b^(2))y=0 .

If y=3\ e^(2x)+2\ e^(3x) , prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0 .

If y="sin"(logx), then prove that (x^2d^2y)/(dx^2)+x(dy)/(dx)+y=0

If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

If y=x^x prove that (d^2y)/(dx^2)-1/(y)(dy/dx)^2-y/x=0