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KATRIN_1 [288]
3 years ago
5

Differential equations by separation of variables

Mathematics
1 answer:
MissTica3 years ago
5 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

xdy/dx = 4y 
<span>xdy = 4ydx </span>
<span>∫ dy/y =∫ 4dx/x </span>
<span>ln(y) = 4ln(x) + C </span>
<span>y = e^[4ln(x)] e^C </span>
<span>y = e^[ln(x)^4] e^C </span>
<span>y = Cx^4 answer</span>
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<u>To find the area of a complex shape</u>:

 ⇒ must cut the whole shape into a simpler shape

  • square with side lengths of 4 in
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<u>Let's calculate:</u>

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             Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40

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<u></u>

Hope that helps!

8 0
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