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Determine by hand the complete solution to the differential equation : y'(t)-4y(t)=e^5*t can someone help i need some explanation how it can be done i

Determine by hand the complete solution to the differential equation : y'(t)-4y(t)=e^5*t

can someone help i need some explanation how it can be done

i can see the result is going to be y(t)=e^4t^2 + c* e^4t

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