I think it’s the third or second
Answer:
10/21 units²
Step-by-step explanation:
2/3 x 5/7 = 10/21 units²
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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X-intercept mean y=0
2/5x+1/10(0)=2
2/5x=2
X= 5
X-intercept = (5,0)
Y-intercept means x= 0
2/5(0)+1/10y=2
1/10y=2
y=20
Y-intercept = (0,20)
Answer:
three hundred twenty six thousandths
