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Beliebt Rechnen >

sqrt(y)dx+(x-9)dy=0,y(10)=49

Lösung

y d x + (x - 9) d y = 0, y (10) = 49

Lösung

y = \frac{ln ^{2} ( x - 9 )}{4} - \frac{c _{1} ln ( x - 9 )}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y d x + (x - 9) d y = 0

Solve separable ODE:

y = \frac{ln ^{2} ( x - 9 )}{4} - \frac{c _{1} ln ( x - 9 )}{2} + \frac{c _{1}^{2}}{4}

y = \frac{ln ^{2} ( x - 9 )}{4} - \frac{c _{1} ln ( x - 9 )}{2} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(dy)/(dt)=12-y/(50)

\frac{d y}{d t} = 12 - \frac{y}{50}

vyln(v)dy-y(vdy+ydv)=0

v y ln (v) d y - y (v d y + y d v) = 0

y^'=0.01398y,y(0)=150

y^{^{'}} = 0.01398 y, y (0) = 150

(dy)/(dx)=(-2x+1)y,y(0)=6.8

\frac{d y}{d x} = (- 2 x + 1) y, y (0) = 6.8

3 x y^{2} y^{^{'}} = y^{3}