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Beliebt Rechnen >

x^6+y^5sqrt(x^7+3)y^'=0,y(0)=0

Lösung

x^{6} + y^{5} x^{7} + 3 y^{^{'}} = 0, y (0) = 0

Lösung

y = 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}, y = - 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}

Schritte zur Lösung

x^{6} + y^{5} x^{7} + 3 y^{'} (x) = 0

Solve separable ODE:

y = 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}, y = - 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}

y = 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}, y = - 6 - \frac{12 x ^{7} + 3}{7} + \frac{12 3}{7}

Graph

Beliebte Beispiele

(dx)/(dy)=2x-5x+1

\frac{d x}{d y} = 2 x - 5 x + 1

integral from 0 to infinity of 2e^{-x}

\int_{0}^{\infty} 2 e^{- x} d x

y^'= y/2+4e^{t/2}

y^{^{'}} = \frac{y}{2} + 4 e^{\frac{t}{2}}

derivative of x/((x^2-1))

\frac{d}{d x} (\frac{x}{( x ^{2} - 1 )})

(\partial)/(\partial y)(ln(x/(x^2+y^2)))

\frac{\partial}{\partial y} (ln (\frac{x}{x ^{2} + y ^{2}}))