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Beliebt Rechnen >

(d^2y)/(dx^2)-5(dy)/(dx)+6y=3x

Lösung

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 3 x

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{2} + \frac{5}{12}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 3 x

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{2} + \frac{5}{12}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{2} + \frac{5}{12}

Graph

Beliebte Beispiele

y^{''}-y^'-12y=2t^6e^{-3t}

y^{^{''}} - y^{^{'}} - 12 y = 2 t^{6} e^{- 3 t}

y^{''}+y=4,y(0)=0,y^'(0)=0

y^{^{''}} + y = 4, y (0) = 0, y^{^{'}} (0) = 0

4q^{''}+8q^'+1/(0.0125)q=88t

4 q^{^{''}} + 8 q^{^{'}} + \frac{1}{0.0125} q = 88 t

x^{''}+x^'+2x=cos(2t)

x^{^{''}} + x^{^{'}} + 2 x = cos (2 t)

(d^2y)/(dx^2)-16y=9.6e^{4x}+30e^x

\frac{d ^{2} y}{d x ^{2}} - 16 y = 9.6 e^{4 x} + 30 e^{x}