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Video Check 16.6
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What is a linear differential equation?
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50 points
one of the form dy/dx = P(x) + Q(x)
one of the form dy/dx = mx + b
one in which the slope of the tangent line is the same for all x's
one of the form dy/dx + P(x)y = Q(x)
How does the equation change when every term is multiplied by the "integrating factor?"
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50 points
The left side looks like the result of using the Product Rule.
The function is automatically solved with no integration necessary.
The right side looks like the result of using the Quotient Rule.
The equation becomes unsolvable for all x.
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