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Beliebt Rechnen >

linear y^{''}+5y^'=15x^2

Lösung

linear

y^{^{''}} + 5 y^{^{'}} = 15 x^{2}

Lösung

y = c_{1} + c_{2} e^{- 5 x} + x^{3} - \frac{3 x ^{2}}{5} + \frac{6 x}{25}

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) = 15 x^{2}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 x} + x^{3} - \frac{3 x ^{2}}{5} + \frac{6 x}{25}

y = c_{1} + c_{2} e^{- 5 x} + x^{3} - \frac{3 x ^{2}}{5} + \frac{6 x}{25}

Graph

Beliebte Beispiele

y^{'''}-y^'=x+1

y^{^{'''}} - y^{^{'}} = x + 1

(D-1)y=2sin(5t),y(0)=0

(D - 1) y = 2 sin (5 t), y (0) = 0

x^{''}-3x^'+x=-e^t

x^{^{''}} - 3 x^{^{'}} + x = - e^{t}

y^{^{''}} - 4 y^{^{'}} = 1

y^{''}+5y=e^{2x}-x-x^2+x^3

y^{^{''}} + 5 y = e^{2 x} - x - x^{2} + x^{3}