D. Solve the Bernoulli's DE: dy dx 4y³ (x²+4). ·+ 4xy¹ = (x² + 4)²

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A: According to our guidelines,i can solve only first please reroute the remaining question.

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A: Explanation of the answer is as follows

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A: To solve Differential equation.

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A: Yes, you are right. There is mistake in equation (iv). Correct solution is shown below.

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Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

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A: Given, line passing through (−4, −5) and having slope − 7/2