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Beliebt Rechnen >

y^{''}-9y^'+20y=x+1

Lösung

y^{^{''}} - 9 y^{^{'}} + 20 y = x + 1

Lösung

y = c_{1} e^{5 x} + c_{2} e^{4 x} + \frac{x}{20} + \frac{29}{400}

Schritte zur Lösung

y^{''} (x) - 9 y^{'} (x) + 20 y = x + 1

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{4 x} + \frac{x}{20} + \frac{29}{400}

y = c_{1} e^{5 x} + c_{2} e^{4 x} + \frac{x}{20} + \frac{29}{400}

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=cos(2x)

y^{^{''}} - 5 y^{^{'}} + 6 y = cos (2 x)

y^{''}-2y^'+y=e^t,y(0)=0,y(0)=5

y^{^{''}} - 2 y^{^{'}} + y = e^{t}, y (0) = 0, y (0) = 5

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

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

y^{''}+9y^'=e^t,y(0)=0,y^'(0)=0

y^{^{''}} + 9 y^{^{'}} = e^{t}, y (0) = 0, y^{^{'}} (0) = 0

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

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