Solving exact differential equations. I solve exact differential equations, which are of the form Pdx+Qdy = 0. For this, we use multivariable calculus, more specifically conservative vector fields and line integrals. The solutions can be written in explicit form or implicit form, in terms of level sets and level curves with gradients. At the end I show how to derive the formula, which just relies on the fundamental theorem of line integrals. A must-see for every calculus and ode student, enjoy
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