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Beliebt Rechnen >

(x^2+1)*(dy)/(dx)+3x(y-1)=0

Lösung

(x^{2} + 1) \cdot \frac{d y}{d x} + 3 x (y - 1) = 0

Lösung

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

Schritte zur Lösung

(x^{2} + 1) \cdot \frac{d y}{d x} + 3 x (y - 1) = 0

Solve separable ODE:

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 1

Graph

Beliebte Beispiele

limit as x approaches 5 of 3x+2

x \to 5 lim (3 x + 2)

y^{''}-6y^'-7y=0

y^{^{''}} - 6 y^{^{'}} - 7 y = 0

steigung (-40)(-4-10)

s l o p e (- 40) (- 4 - 10)

tangent 6x-32sqrt(x)

t an g e n t 6 x - 32 x

(\partial)/(\partial x)((5x)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{5 x}{x ^{2} + y ^{2}})