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Beliebt Rechnen >

4xy^'-(1+x)y=2xy^2

Lösung

4 x y^{^{'}} - (1 + x) y = 2 x y^{2}

Lösung

y = \frac{e ^{\frac{l n ( x ) + x}{4}}}{\int - e ^{\frac{1}{4} (l n (x) + x)} d x}

Schritte zur Lösung

4 x y^{'} (x) - (1 + x) y = 2 x y^{2}

Solve Bernoulli ODE:

y = \frac{e ^{\frac{l n ( x ) + x}{4}}}{\int - e ^{\frac{1}{4} (l n (x) + x)} d x}

y = \frac{e ^{\frac{l n ( x ) + x}{4}}}{\int - e ^{\frac{1}{4} (l n (x) + x)} d x}

Beliebte Beispiele

(dy)/(dx)=((y^3+x^3))/(xy^2)

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

faktorisieren t^3-6t^2+9t

f a c t or t^{3} - 6 t^{2} + 9 t

integral from 0 to infinity of e^{-t}

\int_{0}^{\infty} e^{- t} d t

derivative 1/(2y)

d er i v a t i v e \frac{1}{2 y}

fläche y=(40)/x ,y=-9x+39

a re a y = \frac{40}{x}, y = - 9 x + 39