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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} + c_{4} x - \frac{x ^{4}}{12} - \frac{x ^{3}}{6} - x^{2}

Schritte zur Lösung

y^{(4)} (x) - y^{''} (x) = x^{2} + x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} + c_{4} x - \frac{x ^{4}}{12} - \frac{x ^{3}}{6} - x^{2}

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} + c_{4} x - \frac{x ^{4}}{12} - \frac{x ^{3}}{6} - x^{2}

Graph

Beliebte Beispiele

y^{''}+(-16)y+64=-2/(3x)e^{8x}

y^{^{''}} + (- 16) y + 64 = - \frac{2}{3 x} e^{8 x}

y^{''}+y=2,y(0)=4,y^'(0)=2

y^{^{''}} + y = 2, y (0) = 4, y^{^{'}} (0) = 2

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

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

y^{''}+6y^'+5y=36e^x

y^{^{''}} + 6 y^{^{'}} + 5 y = 36 e^{x}

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

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