Solve the initial-value problem. $\frac { d r } { d t } + 2 t r - r = 0 , \quad r ( 0 ) = 10$
A) $r ( t ) = 10 e ^ { t - 10 t ^ { 2 } }$
B) $r ( t ) = e ^ { 10 t - t ^ { 2 } }$
C) $r ( t ) = 10 e ^ { t ^ { 2 } }$
D) $r ( t ) = 2 e ^ { t - t ^ { 2 } }$
E) $\text { none of these }$

Question

Quizplus · Accepted Answer

The differential equation can be solved using an integrating factor, but none of the given options match the correct solution.

Solve the Initial-Value Problem drdt+2tr−r=0,r(0)=10\frac { d r } { d t } + 2 t r - r = 0 , \quad r ( 0 ) = 10dtdr​+2tr−r=0,r(0)=10

Solve the Initial-Value Problem $\frac { d r } { d t } + 2 t r - r = 0 , \quad r ( 0 ) = 10$