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Problem 2 of section 7 .1 asks for us to solve the following differential equation.
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So the first thing that we need to do is we need to separate the variables in this equation up here.
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So to do so, we are going to write y prime as d, y, d, x.
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We're going to set that equal to 3y.
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We are then going to multiply both sides by dy and divide both sides by y.
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Sorry, we're going to multiply both sides by dx and divide both sides by y.
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So that'll leave us with dy over y is equal to 3dx.
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So the next thing that we are going to do is we are going to integrate both sides.
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So when we do this, we will be left with ln of the absolute value of y, and that will be equal to 3x plus c...
