Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$
Solve for y as a function of x.

A) $y = \ln ( x + 7 ) + 7 x + C$
B) $y = \ln | x | + 7 x + C$
C) $y = \ln | x | + C$
D) $y = - 2 x + C$
E) $y = x + C$

Question

Find the general solution of the differential equation.   $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$  
Solve for y as a function of x.
 
A) $y = \ln ( x + 7 ) + 7 x + C$
B)   $y = \ln | x | + 7 x + C$
C)   $y = \ln | x | + C$
D)   $y = - 2 x + C$
E)   $y = x + C$

Quizplus · Accepted Answer

Integrating the given differential equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$ with respect to $x$ gives $y = \ln | x | + 7x + C$, where $C$ is the constant of integration.

Find the General Solution of the Differential Equation dy dx=1x+7\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7 dxdy​=x1​+7

Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$