Solve using the Riccati equation method: y' = 1 + x (1 + 2x)y + xy;

Solve using the Riccati equation method:

Transcribed Image Text:

y' = 1 + x − (1 + 2x)y + xy²; y₁ = 1 y' = e² + (1 - 2e)y + y²; 2x Y1 = ex y' = 1 + x − (1 + 2x)y + xy²; y₁ = 1 y' = e² + (1 - 2e)y + y²; 2x Y1 = ex

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Answer 1 The Riccati equation method is used to solve linear differential equations of the form dydx axy2 bxy cx In the first equation given dydx 1 x 1 2xy xy2 ax x bx 1 2x and cx 1 To solve this equa... View the full answer