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Beliebt Rechnen >

6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2

Lösung

6 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 2 y = 3 x - 2

Lösung

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- x} - \frac{3 x}{2} - 2

Schritte zur Lösung

6 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 2 y = 3 x - 2

Solve linear ODE:

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- x} - \frac{3 x}{2} - 2

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- x} - \frac{3 x}{2} - 2

Graph

Beliebte Beispiele

y^{''}+4y^'+5y=t

y^{^{''}} + 4 y^{^{'}} + 5 y = t

y^{''}-y^'-2y=4xe^{3x}

y^{^{''}} - y^{^{'}} - 2 y = 4 x e^{3 x}

y^{''}+9y=cos(t)*\H(t-pi)

y^{^{''}} + 9 y = cos (t) \cdot H (t - π)

y^{''}-4y^'+3y=2e^{3x}

y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{3 x}

solvefor D,D(x)=(45)/(sqrt(x+3))

so l v e f or D, D (x) = \frac{45}{x + 3}