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Beliebt Rechnen >

y^{'''}-5y^{''}+6y^'=3+7x

Lösung

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 3 + 7 x

Lösung

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x ^{2}}{12} + \frac{53 x}{36}

Schritte zur Lösung

y^{'''} (x) - 5 y^{''} (x) + 6 y^{'} (x) = 3 + 7 x

Solve linear ODE:

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x ^{2}}{12} + \frac{53 x}{36}

y = c_{1} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{7 x ^{2}}{12} + \frac{53 x}{36}

Graph

Beliebte Beispiele

y^{''}-y=(e^{2x}-e^{-2x})/2

y^{^{''}} - y = \frac{e ^{2 x} - e ^{- 2 x}}{2}

y^{''}+y=1-1-\H(pi/2*t)

y^{^{''}} + y = 1 - 1 - H (\frac{π}{2} \cdot t)

y^{''}+11y=2e^{7x}

y^{^{''}} + 11 y = 2 e^{7 x}

y^{''}-y=2e^{2t}+4te^{2t}+t^2e^{2t}

y^{^{''}} - y = 2 e^{2 t} + 4 t e^{2 t} + t^{2} e^{2 t}

y^{''}+4y=3cos(t)

y^{^{''}} + 4 y = 3 cos (t)