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Beliebt Rechnen >

x(dy)/(dx)+3y=2x^5,y(2)=7

Lösung

x \frac{d y}{d x} + 3 y = 2 x^{5}, y (2) = 7

Lösung

y = \frac{x ^{5}}{4} - \frac{8}{x ^{3}}

Schritte zur Lösung

x \frac{d y}{d x} + 3 y = 2 x^{5}

Solve linear ODE:

y = \frac{x ^{5}}{4} - \frac{8}{x ^{3}}

y = \frac{x ^{5}}{4} - \frac{8}{x ^{3}}

Graph

Beliebte Beispiele

steigung (83)(8-7)

s l o p e (83) (8 - 7)

derivative of sqrt(1+e^{-5x)}

\frac{d}{d x} (1 + e^{- 5 x})

tangent f(x)=(-6x)/((x^2+1))

t an g e n t f (x) = \frac{- 6 x}{( x ^{2} + 1 )}

limit as y approaches 0 of (2(x+y)-2x)/y

y \to 0 lim (\frac{2 ( x + y ) - 2 x}{y})

integral of (x^2+108x+108)/(x^3-4x)

\int \frac{x ^{2} + 108 x + 108}{x ^{3} - 4 x} d x