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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{'''} (x) + y^{''} (x) = e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

2y^{''}=-2y+2cos^2(x)

2 y^{^{''}} = - 2 y + 2 cos^{2} (x)

6y^{''}-13y^'-5y=5x^3+39x^2-36x-10

6 y^{^{''}} - 13 y^{^{'}} - 5 y = 5 x^{3} + 39 x^{2} - 36 x - 10

y^{^{''}} - 4 y = 4 t - 4

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

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