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Beliebt Rechnen >

x^2y^'+y= x/y ,y(1)=4

Lösung

x^{2} y^{^{'}} + y = \frac{x}{y}, y (1) = 4

Lösung

y = - 2 e^{\frac{2}{x}} Ei (- \frac{2}{x}) + (16 + 2 e^{2} Ei (- 2)) e^{\frac{2 - 2 x}{x}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = - 2 e^{\frac{2}{x}} Ei (- \frac{2}{x}) + (16 + 2 e^{2} Ei (- 2)) e^{\frac{2 - 2 x}{x}}

y = - 2 e^{\frac{2}{x}} Ei (- \frac{2}{x}) + (16 + 2 e^{2} Ei (- 2)) e^{\frac{2 - 2 x}{x}}

Beliebte Beispiele

((y^'-e-t+4))/y =-4

\frac{( y ^{^{'}} - e - t + 4 )}{y} = - 4

limit as x approaches 0 of (7^{sin(x)}-1)/x

x \to 0 lim (\frac{7 ^{s i n (x)} - 1}{x})

integral of 1/9 x^{-8/9}

\int \frac{1}{9} x^{- \frac{8}{9}} d x

(\partial)/(\partial x)(x^3e^ysin(x-y))

\frac{\partial}{\partial x} (x^{3} e^{y} sin (x - y))

tangent f(x)=x^2-3,(3,6)

t an g e n t f (x) = x^{2} - 3, (3, 6)