Solve the Initial Value Problem Using an Integrating Factor $y ^ { \prime }$

Solve the initial value problem using an integrating factor.
-t $y ^ { \prime }$ + 3y = 5t; $y ( 1 ) = 1$ , t > 0

A) y = $\frac { 5 } { 4 }$ t - $\frac { 1 } { 4 t ^ { 3 } }$
B) y = $\sqrt { \frac { 4 } { 3 } t ^ { 2 } }$ + 1 - $\sqrt { \frac { 4 } { 3 } }$
C) y = 5 $t ^ { 2 }$ - 4t
D) y = 5 $t ^ { 3 }$ - 4 $t ^ { 2 }$

Correct Answer:

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