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Beliebt Rechnen >

y^{''}+25y=x^2

Lösung

y^{^{''}} + 25 y = x^{2}

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x ^{2}}{25} - \frac{2}{625}

Schritte zur Lösung

y^{''} (x) + 25 y = x^{2}

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x ^{2}}{25} - \frac{2}{625}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x ^{2}}{25} - \frac{2}{625}

Graph

Beliebte Beispiele

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

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

5y^{''}+6y^'+5/(1.96)y=3cos(2t)

5 y^{^{''}} + 6 y^{^{'}} + \frac{5}{1.96} y = 3 cos (2 t)

y^{''}+200y^'+1000000=0

y^{^{''}} + 200 y^{^{'}} + 1000000 = 0

f^{''}(t)+f(t)=cos(t)

f^{^{''}} (t) + f (t) = cos (t)

y^{''}+3y^'+2y=3e^{-4t},y(0)=1

y^{^{''}} + 3 y^{^{'}} + 2 y = 3 e^{- 4 t}, y (0) = 1