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Beliebt Rechnen >

y^{''}-6y^'+9y=9x+4

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 9 x + 4

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + x + \frac{10}{9}

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = 9 x + 4

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + x + \frac{10}{9}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + x + \frac{10}{9}

Graph

Beliebte Beispiele

x^{''}-25x=t^2+t

x^{^{''}} - 25 x = t^{2} + t

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

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

4y^{''}-4y^'+y=48e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 48 e^{\frac{t}{2}}

y^{''}+3y^'+5y=sin(t),y(0)=1,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 5 y = sin (t), y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y^'-6y=3e^{2t}

y^{^{''}} + y^{^{'}} - 6 y = 3 e^{2 t}