The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y". Integrating

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A: GIVEN: [1 + y tan (xy) ]dx + x tan (xy) dy = 0

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A: Proceed as shown below...

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A: To classify the differential equation as linear or separable.

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A: Given equation is

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Q: The integrating factor of the differential equation (x+x sin 2y) dy =2y dx js: A x-3

A: We will find the integrating factor as shown below

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A: We have to find

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A: We obtain the differential equation of the family of straight lines with slope and y-intercept…

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A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…