The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
<h3>How to solve differential equations?</h3>
We want to find the general solution of;
5t(dy/dt) + y = t⁴
We will divide through by 5t to get;
(dy/dt) + y/5t = t³/6
Using Integration factor, we have;
u(t) = e^∫(¹/₅t) dt = t^(¹/₅)
Thus, we now have;
[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6
Completing this with a differential calculator gives us the general solution as;
y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
Read more about differential equations at; brainly.com/question/17201048
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Answer:
- ∠N ≅ ∠J - given
- LN ≅ LJ - given
- ∠L ≅ ∠L - reflexive property
<u>Postulate</u>: ASA
<u>Congruency Statement:</u> ΔJML ≅ ΔNKL
That can be converted to 99.7 kilometers per hour.
Have a nice day!
~Brooke❤️
Area = π r² = π (7)² = 49π = 153.94 unit²
