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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{\frac{x}{2}} (c_{1} cos (\frac{23 x}{2}) + c_{2} sin (\frac{23 x}{2})) - \frac{x}{3} - \frac{1}{18}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{\frac{x}{2}} (c_{1} cos (\frac{23 x}{2}) + c_{2} sin (\frac{23 x}{2})) - \frac{x}{3} - \frac{1}{18}

y = e^{\frac{x}{2}} (c_{1} cos (\frac{23 x}{2}) + c_{2} sin (\frac{23 x}{2})) - \frac{x}{3} - \frac{1}{18}

Graph

Beliebte Beispiele

x^{''}+9x=sin(t)+sin(3t)

x^{^{''}} + 9 x = sin (t) + sin (3 t)

y^{'''}-3y^{''}+3y^'-y=x-5e^x

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = x - 5 e^{x}

y^{''}-10y+25=0

y^{^{''}} - 10 y + 25 = 0

y^{''}-6y^'+9y= 1/(x^2)e^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{1}{x ^{2}} e^{3 x}

x^{''}+4x^'+29=0,x(0)=5,x^'(0)=5

x^{^{''}} + 4 x^{^{'}} + 29 = 0, x (0) = 5, x^{^{'}} (0) = 5