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Beliebt Rechnen >

y^{''}-4y^'+4y=e^{2x}-6

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{2 x} - 6

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = e^{2 x} - 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-2y=1+t,y(0)=2,y^'(0)=0

y^{^{''}} - y^{^{'}} - 2 y = 1 + t, y (0) = 2, y^{^{'}} (0) = 0

5/3 y^{''}+10y^'+30y=300

\frac{5}{3} y^{^{''}} + 10 y^{^{'}} + 30 y = 300

3y^{''}-4y^'+y=x-7

3 y^{^{''}} - 4 y^{^{'}} + y = x - 7

(d^2y)/(dx^2)+y=sec(x)

\frac{d ^{2} y}{d x ^{2}} + y = sec (x)

y^{''}-y^'=e^xcos(x)

y^{^{''}} - y^{^{'}} = e^{x} cos (x)