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Beliebt Rechnen >

y^{''}+81y=0,y(0)=1,y^'(0)=7

Lösung

y^{^{''}} + 81 y = 0, y (0) = 1, y^{^{'}} (0) = 7

Lösung

y = cos (9 t) + \frac{7}{9} sin (9 t)

Schritte zur Lösung

y^{''} (t) + 81 y = 0

Solve linear ODE:

y = cos (9 t) + \frac{7}{9} sin (9 t)

y = cos (9 t) + \frac{7}{9} sin (9 t)

Graph

Beliebte Beispiele

2y^{''}+4y^'+6y=0

2 y^{^{''}} + 4 y^{^{'}} + 6 y = 0

(d^2y)/(dx^2)-4 derivative of 4+4y=0

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

-0.0375x^{''}+0.4535x^'+3.34x=0

- 0.0375 x^{^{''}} + 0.4535 x^{^{'}} + 3.34 x = 0

y^{^{'}} = 7 y^{^{''}}

6y^{'''}+78y^'-696y=0

6 y^{^{'''}} + 78 y^{^{'}} - 696 y = 0