Find the general solution of the differential equation.
-$\frac{d y}{d x}=63 x^{2}-6 x$
A) $63 x^{3}-6 x^{2}+C$
B) $21 x^{3}-6 x^{2}+C$
C) $63 x^{3}-3 x^{2}+C$
D) $21 x^{3}-3 x^{2}+C$

Name: Find the general solution of the differential equation. -$\frac{d y}{d x}=63 x^{2}-6 x$ A) $63 x^{3}-6 x^{2}+C$ B) $21 x^{3}-6 x^{2}+C$ C) $63 x^{3}-3 x^{2}+C$ D) $21 x^{3}-3 x^{2}+C$
Brand: Quizplus
Rating: 4.7 (38 reviews)

Question

Quizplus · Accepted Answer

The general solution is found by integrating the right-hand side: $\int (63x^2 - 6x) \, dx = 21x^3 - 3x^2 + C$.

Find the General Solution of the Differential Equation dydx=63x2−6x\frac{d y}{d x}=63 x^{2}-6 xdxdy​=63x2−6x

Find the General Solution of the Differential Equation $\frac{d y}{d x}=63 x^{2}-6 x$