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Beliebt Rechnen >

(dy)/(dx)=(e^{8y+sqrt(x)})/(sqrt(x)),x>0

Lösung

\frac{d y}{d x} = \frac{e ^{8 y + x}}{x}, x > 0

Lösung

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

y = - \frac{ln ( - 16 e ^{x} - c _{1} )}{8}

Graph

Beliebte Beispiele

d/(dt)((x)x)=sqrt(t^2+1)

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

y^{^{'}} = 8 x sec (y)

(5x+4)+(5y-5)y^'=0

(5 x + 4) + (5 y - 5) y^{^{'}} = 0

y^'(x)=(1-y^2)tan(x),y(0)=sqrt(3)

y^{^{'}} (x) = (1 - y^{2}) tan (x), y (0) = 3

(dy)/(dx)=(-0.9)/(cos(y)),y(0)= pi/3

\frac{d y}{d x} = \frac{- 0.9}{cos ( y )}, y (0) = \frac{π}{3}