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Beliebt Rechnen >

y^{''}-14y^'+49y=28x+6

Lösung

y^{^{''}} - 14 y^{^{'}} + 49 y = 28 x + 6

Lösung

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + \frac{4 x}{7} + \frac{2}{7}

Schritte zur Lösung

y^{''} (x) - 14 y^{'} (x) + 49 y = 28 x + 6

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + \frac{4 x}{7} + \frac{2}{7}

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + \frac{4 x}{7} + \frac{2}{7}

Graph

Beliebte Beispiele

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

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

y^{''}-5y^'+7y=3e^{5t}

y^{^{''}} - 5 y^{^{'}} + 7 y = 3 e^{5 t}

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

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

y^{''}-2y^'+5y=2e^{-x},y(0)=0,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} + 5 y = 2 e^{- x}, y (0) = 0, y^{^{'}} (0) = 2

y^{''}+4y^'+4y=(x+7)e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = (x + 7) e^{- 2 x}