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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{14}{27}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = x^{2}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{14}{27}

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{14}{27}

Graph

Beliebte Beispiele

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

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

y^{'''}-7y^'-6y=26e^{2x}

y^{^{'''}} - 7 y^{^{'}} - 6 y = 26 e^{2 x}

(d^2y)/(dt^2)+9y=cos(3t)

\frac{d ^{2} y}{d t ^{2}} + 9 y = cos (3 t)

y^{''}+9y=cos(2t),y(0)=1,y^'(0)=0

y^{^{''}} + 9 y = cos (2 t), y (0) = 1, y^{^{'}} (0) = 0

4y^{''}+324y=8sin(9t)

4 y^{^{''}} + 324 y = 8 sin (9 t)