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Beliebt Rechnen >

(x^2+1)(dy)/(dx)+3xy=3x

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

(dy)/(dx)=((x+xy^2))/(4y)

\frac{d y}{d x} = \frac{( x + x y ^{2} )}{4 y}

(dy)/(dx)=(6x^2+4)/(8y^3+1),y(0)=1

\frac{d y}{d x} = \frac{6 x ^{2} + 4}{8 y ^{3} + 1}, y (0) = 1

- y^{^{'}} = - 2 yy

y^'-6y=12,y(0)=0

y^{^{'}} - 6 y = 12, y (0) = 0

(3x-3)*((dy)/(dx))+3y+5=0

(3 x - 3) \cdot (\frac{d y}{d x}) + 3 y + 5 = 0