Question:
(d) Solve: \( \frac{dy}{dx} = \frac{1 + x}{1 - y} \).
(d) Solve: \( \frac{dy}{dx} = \frac{1 + x}{1 - y} \).
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Separate variables and integrate both sides carefully for differential equations.
Updated On: Mar 1, 2025
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Solution and Explanation
Rewritetheequation:
\[
\frac{dy}{1-y}=(1+x)dx.
\]
Integratebothsides:
\[
-\ln|1-y|=x+\frac{x^2}{2}+C.
\]
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