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Beliebt Rechnen >

y^{'''}-3y^{''}+2y^'=-3*x^2+6

Lösung

y^{^{'''}} - 3 \cdot y^{^{''}} + 2 \cdot y^{^{'}} = - 3 \cdot x^{2} + 6

Lösung

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

Schritte zur Lösung

y^{'''} (x) - 3 \cdot y^{''} (x) + 2 \cdot y^{'} (x) = - 3 \cdot x^{2} + 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{'''}+6y^{''}+12y^'+8y=8e^{-2x}

y^{^{'''}} + 6 y^{^{''}} + 12 y^{^{'}} + 8 y = 8 e^{- 2 x}

y^{''}+y^'+1.25=0

y^{^{''}} + y^{^{'}} + 1.25 = 0

(D^2-D-2)y=6e-t^2

(D^{2} - D - 2) y = 6 e - t^{2}

(d^2y)/(dx^2)-y=19.2e^{4x}+60e^x

\frac{d ^{2} y}{d x ^{2}} - y = 19.2 e^{4 x} + 60 e^{x}