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

question 58

Multiple Choice

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 \(t ^ { 2 }\)

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