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Beliebt Rechnen >

(dy)/(dx)=4y^2,ln(x)y(1)=-1

Lösung

\frac{d y}{d x} = 4 y^{2}, ln (x) y (1) = - 1

Lösung

y = - \frac{1}{4 x + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} = 4 y^{2}

Solve separable ODE:

y = - \frac{1}{4 x + c _{1}}

y = - \frac{1}{4 x + c _{1}}

Graph

Beliebte Beispiele

y(dy)/(dx)+1/(sqrt(1-x^2))(y^2+1)=0

y \frac{d y}{d x} + \frac{1}{1 - x ^{2}} (y^{2} + 1) = 0

x^{^{'}} = e^{- x + c}

(dy)/(dx)=y^2x+y^2cos(x)

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

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

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

(dy)/(dx)= x/(y^8)

\frac{d y}{d x} = \frac{x}{y ^{8}}