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Beliebt Rechnen >

(D^2-4D+13)y=24e^{2x}*cos(3x)

Lösung

(D^{2} - 4 D + 13) y = 24 e^{2 x} \cdot cos (3 x)

Lösung

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + 4 e^{2 x} x sin (3 x)

Schritte zur Lösung

(D^{2} - 4 D + 13) y = 24 e^{2 x} cos (3 x)

Solve linear ODE:

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + 4 e^{2 x} x sin (3 x)

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + 4 e^{2 x} x sin (3 x)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-2(dy)/(dx)+y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = x e^{x}

y^{''}+36y=11sec^2(6t)

y^{^{''}} + 36 y = 11 sec^{2} (6 t)

y^{''}+6y^'-32y=-120sin(4t)

y^{^{''}} + 6 y^{^{'}} - 32 y = - 120 sin (4 t)

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

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

y^{''}+2y^'-15y=3x

y^{^{''}} + 2 y^{^{'}} - 15 y = 3 x