Let and be the solution curves the differential equation with initial conditions and respectively. Then the curves and intersect at

Question

Let  and  be the solution curves the differential equation  with initial conditions  and  respectively. Then the curves  and  intersect at

Canvas Classes · Accepted Answer

🧠 Two Solutions of the Same First-Order ODE Cannot Cross

Read this question slowly. We have ONE differential equation  and TWO solution curves, each passing through a different starting point ( and ). The question asks where these two curves intersect.

Here is the key idea, and you should remember it for life. For a "well-behaved" first-order ODE  (continuous, smooth ), through every point of the plane there passes exactly one solution curve. Two different solution curves of the same ODE can

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