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Beliebt Rechnen >

y^{''}-y^'=3x^2

Lösung

y^{^{''}} - y^{^{'}} = 3 x^{2}

Lösung

y = c_{1} e^{x} + c_{2} - x^{3} - 3 x^{2} - 6 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} - x^{3} - 3 x^{2} - 6 x

y = c_{1} e^{x} + c_{2} - x^{3} - 3 x^{2} - 6 x

Graph

Beliebte Beispiele

y^{''}-2y^'+y=4x^2-3+(e^x)/x

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 3 + \frac{e ^{x}}{x}

(d^3+4d)y=e^x+sin(x)

(d^{3} + 4 d) y = e^{x} + sin (x)

2y^{''}+18y^'=6tan(3x)

2 y^{^{''}} + 18 y^{^{'}} = 6 tan (3 x)

y^{''}-7y^'+12y=e^3x+e^4x

y^{^{''}} - 7 y^{^{'}} + 12 y = e^{3} x + e^{4} x

y^{''}+4y^'=10t+1

y^{^{''}} + 4 y^{^{'}} = 10 t + 1