Question
Show that the given equation is a solution of the given differential equation.$$y^{\prime \prime}=6 x+2, \quad y=x^{3}+x^{2}+c$$
Step 1
The first derivative of the function is obtained by applying the power rule of differentiation, which states that the derivative of $x^n$ is $nx^{n-1}$. So, the first derivative of $y$ is: $$y' = 3x^{2}+2x$$ Show more…
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