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Beliebt Rechnen >

(d+d+d^2)y=5x^2

Lösung

(d + d + d^{2}) y = 5 x^{2}

Lösung

y = c_{1} + c_{2} e^{- 2 x} + \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{4} + \frac{5 x}{4}

Schritte zur Lösung

(d + d + d^{2}) y = 5 x^{2}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{4} + \frac{5 x}{4}

y = c_{1} + c_{2} e^{- 2 x} + \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{4} + \frac{5 x}{4}

Graph

Beliebte Beispiele

(d^{2} - 1) y = e^{x}

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

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

(d^5-d)y=12e^x+8sin(x)-2x

(d^{5} - d) y = 12 e^{x} + 8 sin (x) - 2 x

y^{'''}-3y^{''}+3y^'-y=e^x-x+16

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = e^{x} - x + 16

(d^3-3d+2)*y=540x^3*e^{-x}

(d^{3} - 3 d + 2) \cdot y = 540 x^{3} \cdot e^{- x}