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Beliebt Rechnen >

(dy)/(dx)=((3y^2))/(sqrt(x))

Lösung

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

Lösung

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

Graph

Beliebte Beispiele

y^'=((x^2y-y))/(y+1)

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

(\partial)/(\partial x)(4x^4y^8+9x^6y^7)

\frac{\partial}{\partial x} (4 x^{4} y^{8} + 9 x^{6} y^{7})

derivative of 2^x(x^2+1)

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

(2x-1)dx+(3y+5)dy=0

(2 x - 1) d x + (3 y + 5) d y = 0

integral of (1+4x)^{3/5}

\int (1 + 4 x)^{\frac{3}{5}} d x