Solve y'+4xy^2=0.   What is the value of y(2) if y(.7)=5.88?

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A: I am attaching image so that you understand each and every step.

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Q: What is the INITIAL VALUE for the equation: y= 24000 (1 - .08)^x? *

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A: We can find the integration as below

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.