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Beliebt Rechnen >

(d^2y)/(dx^2)-4(dy)/(dx)-12y=3cos(x)

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 12 y = 3 cos (x)

Lösung

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{12}{185} sin (x) - \frac{39}{185} cos (x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 12 y = 3 cos (x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{12}{185} sin (x) - \frac{39}{185} cos (x)

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{12}{185} sin (x) - \frac{39}{185} cos (x)

Graph

Beliebte Beispiele

4y^{''}-16y= 1/(e^x)

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

y^{''}+11y^'+28y=-2e^{2x}+1

y^{''}+y^'+y=xe^x

y^{''}-3y^'+2y=sin(x),y(0)=0,y^'(0)=2