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Beliebt Rechnen >

y^{''}+81y=2sin(2x),y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 81 y = 2 sin (2 x), y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = cos (9 x) - \frac{4}{693} sin (9 x) + \frac{2}{77} sin (2 x)

Schritte zur Lösung

y^{''} (x) + 81 y = 2 sin (2 x)

Solve linear ODE:

y = cos (9 x) - \frac{4}{693} sin (9 x) + \frac{2}{77} sin (2 x)

y = cos (9 x) - \frac{4}{693} sin (9 x) + \frac{2}{77} sin (2 x)

Graph

Beliebte Beispiele

linear y^{''}-y=x,y(0)=0,y(1)=0

l in e a r y^{^{''}} - y = x, y (0) = 0, y (1) = 0

y^{''}+2y^'+2y=x+1

y^{^{''}} + 2 y^{^{'}} + 2 y = x + 1

y^{''}-2y=sin(t)

y^{^{''}} - 2 y = sin (t)

y^{''}+2y^'+5y=34cos(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 34 cos (2 x)

(D^2-7D+6)y=e^{6x}+e^x

(D^{2} - 7 D + 6) y = e^{6 x} + e^{x}