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Beliebt Rechnen >

(2xy-3)dx+(x^2+4y)dy=0,y(1)=2

Lösung

(2 x y - 3) d x + (x^{2} + 4 y) d y = 0, y (1) = 2

Lösung

y = \frac{- x ^{2} + x ^{4} - 8 ( - 3 x - c _{1} )}{4}, y = \frac{- x ^{2} - x ^{4} - 8 ( - 3 x - c _{1} )}{4}

Schritte zur Lösung

(2 x y - 3) d x + (x^{2} + 4 y) d y = 0

Solve exact ODE:

y = \frac{- x ^{2} + x ^{4} - 8 ( - 3 x - c _{1} )}{4}, y = \frac{- x ^{2} - x ^{4} - 8 ( - 3 x - c _{1} )}{4}

y = \frac{- x ^{2} + x ^{4} - 8 ( - 3 x - c _{1} )}{4}, y = \frac{- x ^{2} - x ^{4} - 8 ( - 3 x - c _{1} )}{4}

Graph

Beliebte Beispiele

integral of 2x^2sqrt(x^3+1)

\int 2 x^{2} x^{3} + 1 d x

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x \to + 2 lim (\frac{2 x - 25}{x - 2})

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x \to - 0.1 lim (\frac{sin ( 3 x )}{x})

x^{''}+3x^'+6x=0

x^{^{''}} + 3 x^{^{'}} + 6 x = 0