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Beliebt Rechnen >

(y+sqrt(x^2+y^2))dx=xdy

Lösung

(y + x^{2} + y^{2}) d x = x d y

Lösung

y = - \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

Schritte zur Lösung

(y + x^{2} + y^{2}) d x = x d y

Solve using substitution:

y = - \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

y = - \frac{1}{2 e ^{c_{1}}} + \frac{e ^{c_{1}} x ^{2}}{2}

Graph

Beliebte Beispiele

integral of (6x^2)/((x^6+1)(x^3+1))

\int \frac{6 x ^{2}}{( x ^{6} + 1 ) ( x ^{3} + 1 )} d x

limit as x approaches 0 of sin(9x)

x \to 0 lim (sin (9 x))

f (x) = 2 x^{7}

f(t)=(\sqrt[3]{t})/(t-6)

f (t) = \frac{3 t}{t - 6}

(d^{10})/(dx^{10)}(x/(e^x))

\frac{d ^{10}}{d x ^{10}} (\frac{x}{e ^{x}})