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3. the differential equation y2y7y46xy can be written in differential form...

Question: the differential equation y2y7y46xy can be written in differential form...

Question details

The differential equation y−2y7=(y4+6x)y′ can be written in differential form: M(x,y)dx+N(x,y)dy=0.

Check that M(x,y)dx+N(x,y)dy=0 is not exact but it becomes an exact differential equation when the left hand side is divided by y^7, and solve the new exact differential equation.