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Beliebt Rechnen >

y^{''}-y^'-6y=62cos(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 62 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{31}{39} sin (3 x) - \frac{155}{39} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 62 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{31}{39} sin (3 x) - \frac{155}{39} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{31}{39} sin (3 x) - \frac{155}{39} cos (3 x)

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+k(dx)/(dt)+g=0

\frac{d ^{2} x}{d t ^{2}} + k \frac{d x}{d t} + g = 0

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

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

y^{''}+8y=2,y(0)=2,y^'(0)=3

y^{^{''}} + 8 y = 2, y (0) = 2, y^{^{'}} (0) = 3

y^{''}+25y=sin(2x)

y^{^{''}} + 25 y = sin (2 x)

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

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