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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{10 + 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}, y = \frac{10 - 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{10 + 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}, y = \frac{10 - 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}

y = \frac{10 + 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}, y = \frac{10 - 100 - 20 ( - c _{1} + 8 x + 5 x ^{2} )}{10}

Graph

Beliebte Beispiele

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}

e^{2x}dy+2ydx=0

e^{2 x} d y + 2 y d x = 0

\frac{d v}{d t} = 2 - 8 v

(dy)/(dx)=(e^x)/(cos(y))

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