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Exercise

$ty'-2y=t^5sin\left(2t\right)-t^3+4t^4$

Step-by-step Solution

1

Factor the polynomial $t^5\sin\left(2t\right)-t^3+4t^4$ by it's greatest common factor (GCF): $t^{3}$

$ty^{\prime}-2y=t^{3}\left(t^2\sin\left(2t\right)-1+4t\right)$

Final answer to the exercise

$ty^{\prime}-2y=t^{3}\left(t^2\sin\left(2t\right)-1+4t\right)$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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