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Beliebt Rechnen >

2(d^2y)/(dx^2)+1(dy)/(dx)+1y=2

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 1 \frac{d y}{d x} + 1 y = 2

Lösung

y = e^{- \frac{x}{4}} (c_{1} cos (\frac{7 x}{4}) + c_{2} sin (\frac{7 x}{4})) + 2

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 1 \frac{d y}{d x} + 1 y = 2

Solve linear ODE:

y = e^{- \frac{x}{4}} (c_{1} cos (\frac{7 x}{4}) + c_{2} sin (\frac{7 x}{4})) + 2

y = e^{- \frac{x}{4}} (c_{1} cos (\frac{7 x}{4}) + c_{2} sin (\frac{7 x}{4})) + 2

Graph

Beliebte Beispiele

(d^2y)/(dt^2)+3(dy)/(dt)+6y=2t

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} + 6 y = 2 t

y^{''}+2y^'-8y=2e^{-2x}-e^x

y^{^{''}} + 2 y^{^{'}} - 8 y = 2 e^{- 2 x} - e^{x}

y^{''}+2y^'-8y=1-2x^2

y^{^{''}} + 2 y^{^{'}} - 8 y = 1 - 2 x^{2}

y^{''}+64y=csc(8x)

y^{^{''}} + 64 y = csc (8 x)

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

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