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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-6(dy)/(dx)+3y=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 3 y = 0

(d^4y)/(dx^4)+6(d^2y)/(dx^2)+8y=0

\frac{d ^{4} y}{d x ^{4}} + 6 \frac{d ^{2} y}{d x ^{2}} + 8 y = 0

y^{''}+9y^'-20y=0

y^{^{''}} + 9 y^{^{'}} - 20 y = 0

y^{''}-20y^'+64y=0

y^{^{''}} - 20 y^{^{'}} + 64 y = 0

f^{''}(t)-cf(t)=0

f^{^{''}} (t) - c f (t) = 0