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Beliebt Rechnen >

y^{''}-2y+10y=e^xcos(3x)

Lösung

y^{^{''}} - 2 y + 10 y = e^{x} cos (3 x)

Lösung

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{1}{6} e^{x} sin (3 x)

Schritte zur Lösung

y^{''} (x) - 2 y + 10 y = e^{x} cos (3 x)

Solve linear ODE:

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{1}{6} e^{x} sin (3 x)

y = c_{1} cos (2^{1 + \frac{1}{2}} x) + c_{2} sin (2^{1 + \frac{1}{2}} x) + \frac{1}{6} e^{x} sin (3 x)

Graph

Beliebte Beispiele

y^{''}+y^'-2y=-10

y^{^{''}} + y^{^{'}} - 2 y = - 10

y^{''}-2y^'-3y=2cos(3x)

y^{^{''}} - 2 y^{^{'}} - 3 y = 2 cos (3 x)

(d^4y)/(dx^4)+4y=cos(2x)

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

y^{''}-10y^'+24y=90e^t

y^{^{''}} - 10 y^{^{'}} + 24 y = 90 e^{t}

y^{''}+9y^'=8sin(t),y(0)=1,y^'(0)=1

y^{^{''}} + 9 y^{^{'}} = 8 sin (t), y (0) = 1, y^{^{'}} (0) = 1