Solve dy/dx=x^2 /(1+y^2), a seprable differential equation

🌟 In this video, we'll solve the separable differential equation 𝑑𝑦/𝑑𝑥 = 𝑥² / (1 + 𝑦²) step by step! This engaging tutorial will guide you through the process of separating variables, cross-multiplying, and applying the anti-derivative to find the general solution to this equation! 😊✅

Learn how to 1️⃣ Separate variables (1 + 𝑦²) 𝑑𝑦 = 𝑥² 𝑑𝑥 2️⃣ Apply the anti-derivative ∫(1 + 𝑦²) 𝑑𝑦 = ∫𝑥² 𝑑𝑥 3️⃣ Solve for 𝑦 and 𝑥 𝑦 + 𝑦³/3 - 𝑥³/3 = 𝐶

Once you follow these steps, you'll be able to tackle any separable differential equation like a pro! 💪🎓

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