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Beliebt Rechnen >

xy^'+4y=-25xsin(x^5)

Lösung

x y^{^{'}} + 4 y = - 25 x sin (x^{5})

Lösung

y = \frac{5 cos ( x ^{5} )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

x y^{'} (x) + 4 y = - 25 x sin (x^{5})

Solve linear ODE:

y = \frac{5 cos ( x ^{5} )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

y = \frac{5 cos ( x ^{5} )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Graph

Beliebte Beispiele

derivative of 3/(sqrt(7x^4-5x^2+1))

\frac{d}{d x} (\frac{3}{7 x ^{4} - 5 x ^{2} + 1})

limit as x approaches 0.1 of (e^x-1)/x

x \to 0.1 lim (\frac{e ^{x} - 1}{x})

derivative f(x)=(6x-x^2)^{10}

d er i v a t i v e f (x) = (6 x - x^{2})^{10}

derivative of sin^5(3x)

\frac{d}{d x} (sin^{5} (3 x))

y^'=4-9x^2-6x^5

y^{^{'}} = 4 - 9 x^{2} - 6 x^{5}