find the particular solution of the differential equation x(1+y²)dx-y(1+x²)dy =0, given that y=1 , when x=0.
You asked:
Solve the system of equations:\[\begin{aligned}x\left( 1 + {y}^{2} \right) \cdot d x - y\left( 1 + {x}^{2} \right) \cdot d y &= 0\\y &= 1\\x &= 0\end{aligned}\]
MathBot Answer:
The system of equations has one solution.
\[d = 0, x = 0, y = 1\]