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# Find the general solution $\large\frac{dy}{dx}$$=(1+x^2)(1+y^2) Can you answer this question? ## 1 Answer 0 votes Toolbox: • \int\large\frac{ dx}{1+x^2}$$ = \tan^{-1} x$
Step 1:
Given: $\large\frac{dy}{dx}$$= (1 + x^2) (1 + y^2) Seperating the variables we get, \large\frac{dy}{1+y^2}$$= (1+x^2)$
Step 2:
Integrating on both sides, by using the information in the tool box,