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Beliebt Rechnen >

y^{''}-14y^'+49y=2xe^{7x}

Lösung

y^{^{''}} - 14 y^{^{'}} + 49 y = 2 x e^{7 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 14 y^{'} (x) + 49 y = 2 x e^{7 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=e^3x,y(0)=-1,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3} x, y (0) = - 1, y^{^{'}} (0) = 1

(d^2y)/(dt^2)-5(dy)/(dt)+6=0

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 = 0

-5y^{''}-2y^'+24=0

- 5 y^{^{''}} - 2 y^{^{'}} + 24 = 0

linear 1/4 y^{''}+4y=tan(4t)-1/3 e^{3t}

l in e a r \frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{3} e^{3 t}

2y^{'''}-2y^'=-3t^2-4t

2 y^{^{'''}} - 2 y^{^{'}} = - 3 t^{2} - 4 t