Differential Equations

⭐ Important Questions

1. Solve: dydx = x + y.
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   Linear: dydx - y = x\nIF = e^{-x}\nye^{-x} = ∫xe^{-x}dx = -xe^{-x} - e^{-x} + C\ny = -x - 1 + Ce^x
2. Find order and degree of (y'')³ + x(y')² + y = 0.
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   Highest derivative: y'' (order 2)\nPower of highest derivative: 3 (degree 3)\nOrder = 2, Degree = 3