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Beliebt Rechnen >

y^{''}-8y^'+25y=0,y(0)=e^{4x}cos(3x)

Lösung

y^{^{''}} - 8 y^{^{'}} + 25 y = 0, y (0) = e^{4 x} cos (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 25 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

81y^{''''}=256y

81 y^{^{''''}} = 256 y

linear (d^2y)/(dx^2)=16y

l in e a r \frac{d ^{2} y}{d x ^{2}} = 16 y

y^{''}+4y^'+29y=0,y(0)=2,y^'(0)=-3

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 2, y^{^{'}} (0) = - 3

-y^{''}-9*pi^2y=0

- y^{^{''}} - 9 \cdot π^{2} y = 0

(d^2x)/(dt^2)+4(dx)/(dt)+324x=0

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 324 x = 0