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Beliebt Rechnen >

y^{''}+(sqrt(53))/7*y^'+49x=0

Lösung

y^{^{''}} + \frac{53}{7} \cdot y^{^{'}} + 49 x = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{53 x}{7}} - \frac{343 x ^{2}}{2 53} + \frac{2401 x}{53}

Schritte zur Lösung

y^{''} (x) + \frac{53}{7} \cdot y^{'} (x) + 49 x = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{53 x}{7}} - \frac{343 x ^{2}}{2 53} + \frac{2401 x}{53}

y = c_{1} + c_{2} e^{- \frac{53 x}{7}} - \frac{343 x ^{2}}{2 53} + \frac{2401 x}{53}

Graph

Beliebte Beispiele

D(f(x))=4sec(4x)tan(4)(x)

D (f (x)) = 4 sec (4 x) tan (4) (x)

2y^{''}+9y^'+9y=2x

2 y^{^{''}} + 9 y^{^{'}} + 9 y = 2 x

y^{''}-8y+16y=t^{-3}e^{4t}

y^{^{''}} - 8 y + 16 y = t^{- 3} e^{4 t}

x^{''}+240x^'-9.8=0

x^{^{''}} + 240 x^{^{'}} - 9.8 = 0

y^{''}-6y^'+9y=t^2e^3t,y(0)=2,y^'(0)=17

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{2} e^{3} t, y (0) = 2, y^{^{'}} (0) = 17