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Beliebt Rechnen >

y^'=(7x^4e^{y/x}+x^2y^2)/(x^3y)

Lösung

y^{^{'}} = \frac{7 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

Lösung

y = - W (\frac{7 ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

y^{'} (x) = \frac{7 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

Solve using substitution:

y = - W (\frac{7 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{7 ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

derivative of 3/2 tan(x)

\frac{d}{d x} (\frac{3}{2} tan (x))

integral of y/(y^2+9)

\int \frac{y}{y ^{2} + 9} d y

laplacetransform e^7

l a pl a ce t r an s f or m e^{7}

integral of (24x)/(4sqrt(4x^2+8))

\int \frac{24 x}{4 4 x ^{2} + 8} d x

(d^2)/(dx^2)((x^2+8)^8)

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 8)^{8})