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Popular >

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

Solution

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

Solution

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

Solution steps

y^{''} (t) + y = 0

Solve linear ODE:

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

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

Popular Examples

y^{''}-y^'-2y=0,y(0)=-2,y^'(0)=5

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = - 2, y^{^{'}} (0) = 5

y^{''}+16y=0,y(0)=2,y^'(0)=8

y^{^{''}} + 16 y = 0, y (0) = 2, y^{^{'}} (0) = 8

2x^{''}+4x^'+10x=0

2 x^{^{''}} + 4 x^{^{'}} + 10 x = 0

y^{''}+4y^'+4y=0,y(0)=1

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 1

(d^2y)/(dx^2)+7y=0

\frac{d ^{2} y}{d x ^{2}} + 7 y = 0

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y=0,y(0)=1 ?
The solution for y^{''}+y=0,y(0)=1 is y=cos(t)+c_{2}sin(t)