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Beliebt Rechnen >

y^{'''}-2y^{''}+y^'=1

Lösung

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 1

Lösung

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} + t

Schritte zur Lösung

y^{'''} (t) - 2 y^{''} (t) + y^{'} (t) = 1

Solve linear ODE:

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} + t

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} + t

Graph

Beliebte Beispiele

1/6 y^{''}+6y=tan(6x)-1/3 e^{3x}

\frac{1}{6} y^{^{''}} + 6 y = tan (6 x) - \frac{1}{3} e^{3 x}

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

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

y^{'''}-y^'=10cos(2x)

y^{^{'''}} - y^{^{'}} = 10 cos (2 x)

y^{''}+2y^'+2y=x^3-1

y^{^{''}} + 2 y^{^{'}} + 2 y = x^{3} - 1

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

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