Find the general solution of the differential equation.
-$\frac{d y}{d x}=12 x^{2}$
A) $4 x^{3}+C$
B) $x^{3}+C$
C) $\frac{x^{3}}{3}+C$
D) $12 x^{3}+C$

Name: Find the general solution of the differential equation. -$\frac{d y}{d x}=12 x^{2}$ A) $4 x^{3}+C$ B) $x^{3}+C$ C) $\frac{x^{3}}{3}+C$ D) $12 x^{3}+C$
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Question

Quizplus · Accepted Answer

The general solution is found by integrating the right-hand side of the differential equation. The integral of $12x^2$ with respect to $x$ is $4x^3$, so the general solution is $4x^3 + C$.

Find the General Solution of the Differential Equation dydx=12x2\frac{d y}{d x}=12 x^{2}dxdy​=12x2

Find the General Solution of the Differential Equation $\frac{d y}{d x}=12 x^{2}$