Question
Show that the given equation is a solution of the given differential equation.$$\frac{d y}{d x}=2 x, \quad y=x^{2}+1$$
Step 1
The derivative of $x^{2}$ with respect to $x$ is $2x$ and the derivative of a constant (in this case, 1) is zero. So, the derivative of $y=x^{2}+1$ is $2x$. Show more…
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