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Popular >

x^{''}+x=5

Solution

x^{^{''}} + x = 5

Solution

x = c_{1} cos (t) + c_{2} sin (t) + 5

Solution steps

x^{''} (t) + x = 5

Solve linear ODE:

x = c_{1} cos (t) + c_{2} sin (t) + 5

x = c_{1} cos (t) + c_{2} sin (t) + 5

Graph

Popular Examples

y^{'''}+y^{''}-1=0

y^{^{'''}} + y^{^{''}} - 1 = 0

y^{''}+y^'=t,y(0)=1,y^'(0)=2

y^{^{''}} + y^{^{'}} = t, y (0) = 1, y^{^{'}} (0) = 2

y^{''''}+2y^{''}+y=5+cos(4t)

y^{^{''''}} + 2 y^{^{''}} + y = 5 + cos (4 t)

4 y^{^{''}} - 16 y = 1

(d^2y)/(dx^2)+y=e^x,y(0)=0,y^'(0)=0

\frac{d ^{2} y}{d x ^{2}} + y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for x^{''}+x=5 ?
The solution for x^{''}+x=5 is x=c_{1}cos(t)+c_{2}sin(t)+5