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Beliebt Rechnen >

y^{''}-8y^'+16y=16x+7

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 7

Lösung

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + \frac{15}{16}

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 16 y = 16 x + 7

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + \frac{15}{16}

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + \frac{15}{16}

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=16x+5

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 5

y^{'''}-3y^{''}+3y^'-y=(e^t)/t

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = \frac{e ^{t}}{t}

y^{''}-2y^'-15y=3e^{5t}

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 e^{5 t}

y^{'''}+4y^{''}-5y=xe^x+8

y^{^{'''}} + 4 y^{^{''}} - 5 y = x e^{x} + 8

y^{''}-12y^'+36y=e^{6t}arctan(t)

y^{^{''}} - 12 y^{^{'}} + 36 y = e^{6 t} arctan (t)