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Beliebt Rechnen >

7y^{''}+7y^'+2y=16+9x+x^2

Lösung

7 y^{^{''}} + 7 y^{^{'}} + 2 y = 16 + 9 x + x^{2}

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{x}{2 7}) + c_{2} sin (\frac{x}{2 7})) + \frac{x ^{2}}{2} + x + 1

Schritte zur Lösung

7 y^{''} (x) + 7 y^{'} (x) + 2 y = 16 + 9 x + x^{2}

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{x}{2 7}) + c_{2} sin (\frac{x}{2 7})) + \frac{x ^{2}}{2} + x + 1

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{x}{2 7}) + c_{2} sin (\frac{x}{2 7})) + \frac{x ^{2}}{2} + x + 1

Graph

Beliebte Beispiele

y^{''}+y=-8xcos^2(x)

y^{^{''}} + y = - 8 x cos^{2} (x)

2y^{''}+3y^'-2y=18x^2-4x-15

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 18 x^{2} - 4 x - 15

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

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

y^{''}+4y^'+4y=(5+x)e-2x

y^{^{''}} + 4 y^{^{'}} + 4 y = (5 + x) e - 2 x

y^{'''}-3y^'+2y=8e^{2x}

y^{^{'''}} - 3 y^{^{'}} + 2 y = 8 e^{2 x}