Solve the equation using an integrating factor.
-$y ^ { \prime }$ + $t ^ { 2 }$ y = 4 $t ^ { 2 }$ , t 0
A) y = 4x + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
B) y = 4x + C $e ^ { - t ^ { 3 } / 3 }$
C) y = 4 + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
D) y = 4 + C $e ^ { - t ^ { 3 } / 3 }$

Question

Solve the equation using an integrating factor. 
-$y ^ { \prime }$ + $t ^ { 2 }$ y = 4 $t ^ { 2 }$ , t > 0
A) y = 4x + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
B) y = 4x + C $e ^ { - t ^ { 3 } / 3 }$
C) y = 4 + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
D) y = 4 + C $e ^ { - t ^ { 3 } / 3 }$

Quizplus · Accepted Answer

The Answer of Solve the equation using an integrating factor. 
-$y ^ { \prime }$ + $t ^ { 2 }$ y = 4 $t ^ { 2 }$ , t > 0
A) y = 4x + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
B) y = 4x + C $e ^ { - t ^ { 3 } / 3 }$
C) y = 4 + C $\mathrm { e } ^ { - \mathrm { t } ^ { 2 } / 2 }$
D) y = 4 + C $e ^ { - t ^ { 3 } / 3 }$

Solve the Equation Using an Integrating Factor y′y ^ { \prime }y′

Solve the Equation Using an Integrating Factor $y ^ { \prime }$