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Popular >

(y^{''})/y =-1

Solution

\frac{y ^{^{''}}}{y} = - 1

Solution

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

Solution steps

\frac{y ^{''} ( t )}{y} = - 1

Solve linear ODE:

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

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

Graph

Popular Examples

3 y^{^{''}} + 4 y = 0

\frac{x ^{^{''}}}{x} = a

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

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

y^{''}+8y^'+25y=0,y(0)=3

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 3

y^{'''''}+y^{''''}+9y^{'''}+9y^{''}=0

y^{^{'''''}} + y^{^{''''}} + 9 y^{^{'''}} + 9 y^{^{''}} = 0

Frequently Asked Questions (FAQ)

What is the solution for (y^{''})/y =-1 ?
The solution for (y^{''})/y =-1 is y=c_{1}cos(t)+c_{2}sin(t)