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Solve the following differential equation : $(y+3x^2)\large\frac{dx}{dy}$$=x.$

1 Answer

  • When the function occurs in the form of their products, we can differentiate them using product rule, which states that $uv = uv' + vu' $
Step 1:
This can be written as
On rearranging we can write this as
Step 2:
On integrating we get,
$\int\large\frac{xdy-ydx}{x^2}$$=\int 3 dx$
This is the required solution.
answered Nov 12, 2013 by sreemathi.v
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