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Beliebt Rechnen >

2(d^2y)/(dx^2)+4(dy)/(dx)-6y=14e^x

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 6 y = 14 e^{x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} + \frac{7 e ^{x} x}{4}

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 6 y = 14 e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} + \frac{7 e ^{x} x}{4}

y = c_{1} e^{x} + c_{2} e^{- 3 x} + \frac{7 e ^{x} x}{4}

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=10sin(2t)

y^{^{''}} + 2 y^{^{'}} + 2 y = 10 sin (2 t)

y^{^{''}} + 2 y^{^{'}} = 4 x

y^{''}+3y=x^3-1

y^{^{''}} + 3 y = x^{3} - 1

y^{''}-8y^'+16y=8e^{2t},y(0)=3,y^'(0)=2

y^{^{''}} - 8 y^{^{'}} + 16 y = 8 e^{2 t}, y (0) = 3, y^{^{'}} (0) = 2

y^{''}+y^'=x,y(0)=5,y^'(0)=0

y^{^{''}} + y^{^{'}} = x, y (0) = 5, y^{^{'}} (0) = 0