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Popular Calculus >

(d^2y)/(dx^2)=-9y

Solution

\frac{d ^{2} y}{d x ^{2}} = - 9 y

Solution

y = c_{1} cos (3 x) + c_{2} sin (3 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} = - 9 y

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x)

Graph

Popular Examples

y^{''}=7y^'-12y,y^'(0)=1

y^{''}+y=0,y(0)=2,y^'(0)=1

x^{''}+3x^'+2x=0,x^'(0)=2

y^{''}+20y^'+10y=0

Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)=-9y ?
The solution for (d^2y)/(dx^2)=-9y is y=c_{1}cos(3x)+c_{2}sin(3x)