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Solve the Equation Using an Integrating Factor y+4ty=t4\mathrm { y } ^ { \prime } + \frac { 4 } { \mathrm { t } } \mathrm { y } = \mathrm { t } ^ { 4 }

Question 88

Multiple Choice

Solve the equation using an integrating factor.
- y+4ty=t4\mathrm { y } ^ { \prime } + \frac { 4 } { \mathrm { t } } \mathrm { y } = \mathrm { t } ^ { 4 } , t > 0


A) y = C t4t ^ { 4 } + t5t ^ { 5}
B) y = - t4t ^ { - 4 } + t3t ^ { 3 } + C
C) y = t4t ^ { - 4 } + t5t ^ { 5 }
D) y = C t4t ^ { - 4 } + 19\frac { 1 } { 9 } t5t ^ { 5 }

Correct Answer:

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