Solve the differential equation.
-$$x \frac { d y } { d x } = y + \left( x ^ { 2 } - 3 \right) ^ { 2 }$$
A) $y = \frac { 1 } { 3 } x ^ { 3 } - 6 x - \frac { 9 } { x } + C$
B) $y = \frac { 1 } { 3 } x ^ { 4 } - 18 x \ln x + C x$
C) $y = \frac { 1 } { 3 } x ^ { 4 } - 6 x ^ { 2 } - 9 + C x$
D) $y = x ^ { 4 } - x ^ { 2 } - 9 + C x$

Question

Quizplus · Accepted Answer

The differential equation is separable and can be solved by integrating both sides. The correct solution matches option C.

Solve the Differential Equation xdydx=y+(x2−3)2x \frac { d y } { d x } = y + \left( x ^ { 2 } - 3 \right) ^ { 2 }xdxdy​=y+(x2−3)2

Solve the Differential Equation $x \frac { d y } { d x } = y + \left( x ^ { 2 } - 3 \right) ^ { 2 }$