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Beliebt Rechnen >

sqrt(y)dx+(x-6)dy=0,y(7)=9

Lösung

y d x + (x - 6) d y = 0, y (7) = 9

Lösung

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

y d x + (x - 6) d y = 0

Solve separable ODE:

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(3y2-t2y5)(dy)/(dt)+t2y4=0

(3 y 2 - t 2 y 5) \frac{d y}{d t} + t 2 y 4 = 0

y^{^{'}} = tan (x) y

y^'+4y=12,y(0)=0

y^{^{'}} + 4 y = 12, y (0) = 0

(dy)/(dx)+yln(x)=3ln(x)

\frac{d y}{d x} + y ln (x) = 3 ln (x)

(dy)/(dx)=(y(y+1))/(x+1)

\frac{d y}{d x} = \frac{y ( y + 1 )}{x + 1}