Question
Reduce each of the following differential equations to the variable separable form and hence solve:
$x+y \frac{d y}{d x}=\sec \left(x^2+y^2\right)$
$x+y \frac{d y}{d x}=\sec \left(x^2+y^2\right)$
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| $X_i$ | $0$ | $1$ | $2$ |
| $P_i$ | $3c^3$ | $4c - 10c^2$ | $5c - 1$ |
| $X =x$ | 1 | 2 | 3 |
| $P ( X =x)$ | $\frac{1}{5}$ | $\frac{2}{5}$ | $\frac{2}{5}$ |