The differential equation can be written in differential form: where M(x, y) = y + 4y5...

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The differential equation can be written in differential form: where M(x, y) = y + 4y5 = (y³ + 4x) y' M(x, y) dx + N(x, y) dy = 0 and N(x, y) = The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y5. Integrating that new equation, the solution of the differential equation is = C. = The differential equation can be written in differential form: where M(x, y) = y + 4y5 = (y³ + 4x) y' M(x, y) dx + N(x, y) dy = 0 and N(x, y) = The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y5. Integrating that new equation, the solution of the differential equation is = C. =