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Popular >

y^{''}+4y+5y=0

Solution

y^{^{''}} + 4 y + 5 y = 0

Solution

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

Solution steps

y^{''} (t) + 4 y + 5 y = 0

Solve linear ODE:

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

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

Popular Examples

(d^2y)/(dx^2)+10(dy)/(dx)+41y=0

\frac{d ^{2} y}{d x ^{2}} + 10 \frac{d y}{d x} + 41 y = 0

x^{^{''}} + x^{^{'}} - x = 0

(d^3y)/(dx^3)-y=0

\frac{d ^{3} y}{d x ^{3}} - y = 0

y^{''}-3y^'+y3=0

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

5y^{''}+10y^'+5y=0,y(0)=0,y^'(0)=2

5 y^{^{''}} + 10 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+4y+5y=0 ?
The solution for y^{''}+4y+5y=0 is y=c_{1}cos(3t)+c_{2}sin(3t)