Question

Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy (a) Rewrite this equation into the form M(x,...

Consider the following differential equation: dy/dx = −(3xy+y^2)/x^2+xy

(a) Rewrite this equation into the form M(x, y)dx + N(x, y)dy = 0. Determine if this equation is exact;

(b) Multiply x on both sides of the equation, is the new equation exact?

(c) Solve the equation based on Part (a) and Part (b).

Math   Calculus   
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