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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + 2 x^{2}

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = 4 x

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + 2 x^{2}

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + 2 x^{2}

Graph

Beliebte Beispiele

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

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

(d^2y)/(dx^2)-3(dy)/(dx)+2y=e^{3x}

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

y^{''}+3y^'-40y=-132t+80t^2

y^{^{''}} + 3 y^{^{'}} - 40 y = - 132 t + 80 t^{2}

y^{''}+8y^'+12=0

y^{^{''}} + 8 y^{^{'}} + 12 = 0

y^{''}+2y^'+2y=5e^t+2t+2

y^{^{''}} + 2 y^{^{'}} + 2 y = 5 e^{t} + 2 t + 2