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Beliebt Rechnen >

-y^{''}-pi^2y=0

Lösung

- y^{^{''}} - π^{2} y = 0

Lösung

y = c_{1} cos (π t) + c_{2} sin (π t)

Schritte zur Lösung

- y^{''} (t) - π^{2} y = 0

Solve linear ODE:

y = c_{1} cos (π t) + c_{2} sin (π t)

y = c_{1} cos (π t) + c_{2} sin (π t)

Graph

Beliebte Beispiele

y^{''}+20y^'+100y=0,y(0)=2,y^'(0)=1

y^{^{''}} + 20 y^{^{'}} + 100 y = 0, y (0) = 2, y^{^{'}} (0) = 1

(d^2v)/(dx^2)+k^2v=0

\frac{d ^{2} v}{d x ^{2}} + k^{2} v = 0

4(dy)/(dx)-(d^2y)/(dx^2)=0

4 \frac{d y}{d x} - \frac{d ^{2} y}{d x ^{2}} = 0

y^{''}-4y^'-5y=0,y(-1)=3,y(-1)=5

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (- 1) = 3, y (- 1) = 5

2y^{''''}-4y^{''}+2y=0

2 y^{^{''''}} - 4 y^{^{''}} + 2 y = 0