Question
Determine whether the given differential equation is exact. If it is exact, solve it.$$\left(\frac{1}{t}+\frac{1}{t^{2}}-\frac{y}{t^{2}+y^{2}}\right) d t+\left(y e^{y}+\frac{1}{t^{2}+y^{2}}\right) d y=0$$
Step 1
We have $$M(t,y) = \frac{1}{t}+\frac{1}{t^{2}}-\frac{y}{t^{2}+y^{2}},$$ and $$N(t,y) = y e^{y}+\frac{1}{t^{2}+y^{2}}.$$ Show more…
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