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Beliebt Rechnen >

y^{''}-2/5 y=-x^2

Lösung

y^{^{''}} - \frac{2}{5} y = - x^{2}

Lösung

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

Schritte zur Lösung

y^{''} (x) - \frac{2}{5} y = - x^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-y^'=sin(t)

y^{^{''}} - y^{^{'}} = sin (t)

y^{''}+c*y=g(x),y(0)=0,y^'(0)=0

y^{^{''}} + c \cdot y = g (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-36y=24sin(6t)

y^{^{''}} - 36 y = 24 sin (6 t)

y^{''}-2y^'+2y=e^x(cos(x)-3sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{x} (cos (x) - 3 sin (x))