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

Lösung

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

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

Schritte zur Lösung

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

x^{4} y^{^{'}} = 3 - 2 y

\frac{d y}{d x} + y^{2} sin (4 x) = 0

e^{- 3 x} \frac{d y}{d x} - 3 e^{- 3 x} y = 0

x^{^{'}} = 5.5 - x

y^{^{'}} y + 36 x = 0