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Beliebt Rechnen >

y^{''}+36y=0,y(0)=-5,y^'(0)=12

Lösung

y^{^{''}} + 36 y = 0, y (0) = - 5, y^{^{'}} (0) = 12

Lösung

y = - 5 cos (6 t) + 2 sin (6 t)

Schritte zur Lösung

y^{''} (t) + 36 y = 0

Solve linear ODE:

y = - 5 cos (6 t) + 2 sin (6 t)

y = - 5 cos (6 t) + 2 sin (6 t)

Graph

Beliebte Beispiele

y^{'''}+3y^{''}-24y^'+28y=0

y^{^{'''}} + 3 y^{^{''}} - 24 y^{^{'}} + 28 y = 0

y^{''}-15y^'-56y=0

y^{^{''}} - 15 y^{^{'}} - 56 y = 0

4y^{''}-21y^'+20y=0,y(0)=0

4 y^{^{''}} - 21 y^{^{'}} + 20 y = 0, y (0) = 0

(d^2y)/(dx^2)-4(dy)/(dx)-5y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 0

u^{''}+\H(t)=0,\H(0)=0,u^'(0)=2

u^{^{''}} + H (t) = 0, H (0) = 0, u^{^{'}} (0) = 2