Solve the differential equation. $$\frac { d y } { d x } = x + 8$$
A) $y = \frac { 1 } { 2 } x ^ { 2 } - 8 x + C$
B) $y = \frac { 1 } { 2 } x ^ { 2 } + 8 x + C$
C) $y = x ^ { 2 } - 8 x + C$
D) $y = - \frac { 1 } { 2 } x ^ { 2 } - 8 x + C$
E) $y = x ^ { 2 } + 8 x + C$

Question

Quizplus · Accepted Answer

Integrating the given differential equation $\frac { d y } { d x } = x + 8$ with respect to $x$ gives $y = \frac { 1 } { 2 } x ^ { 2 } + 8 x + C$, where $C$ is the constant of integration.

Solve the Differential Equation dydx=x+8\frac { d y } { d x } = x + 8dxdy​=x+8

Solve the Differential Equation $\frac { d y } { d x } = x + 8$