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Beliebt Rechnen >

y^{''''}-5y^{'''}+4y^{''}=x

Lösung

y^{^{''''}} - 5 y^{^{'''}} + 4 y^{^{''}} = x

Lösung

y = c_{1} e^{x} + c_{2} e^{4 x} + c_{3} + c_{4} x + \frac{x ^{3}}{24} + \frac{5 x ^{2}}{32}

Schritte zur Lösung

y^{(4)} (x) - 5 y^{'''} (x) + 4 y^{''} (x) = x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{4 x} + c_{3} + c_{4} x + \frac{x ^{3}}{24} + \frac{5 x ^{2}}{32}

y = c_{1} e^{x} + c_{2} e^{4 x} + c_{3} + c_{4} x + \frac{x ^{3}}{24} + \frac{5 x ^{2}}{32}

Graph

Beliebte Beispiele

2y^{''}+y=5+cos(4t)

2 y^{^{''}} + y = 5 + cos (4 t)

y^{''}+4y^'+3y=x-1

y^{^{''}} + 4 y^{^{'}} + 3 y = x - 1

y^{'''}-6y^{''}=cos(4x)

y^{^{'''}} - 6 y^{^{''}} = cos (4 x)

y^{''}-2y^'-8y=-8t-18,y(0)=1,y^'(0)=28

y^{^{''}} - 2 y^{^{'}} - 8 y = - 8 t - 18, y (0) = 1, y^{^{'}} (0) = 28

y^{''}-2y^'+y=e^xsec^2(x)tan(x)

y^{^{''}} - 2 y^{^{'}} + y = e^{x} sec^{2} (x) tan (x)