Consider the following differential equation. (x - y + y² sin(x)) dx = (6xy5 + 2y cos(x)) dy

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 5y - y³ 5x + 3xy² dx…

A: This question related to exact differential equation.

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4

A: Here follow the complete python code.

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Q: Using the Laplace transform, solve the IVP. y₁ (t) 32(t) = = y₁5y1 - 4y2 - 9t² + 2t, y2 = 10y1 - 7y2…

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Q: Using Heun's Method, calculate y(0.4) for the following: 4 y -5x²y², y (0) = 1, h 0.2 P 1 The…

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A: Here given  Hz=z2z-1z-0.5

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Q: a. (t-e-4t)² sec²4t -tan 4t]

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Q: c) y/2y=-x²y², y(1) = y'

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Q: (cost + 2)6(t - π). e-2t sin 2t cos 2t.

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Q: DIFFERENTIATION 1. Obtain from first principles, the derivative with respect to of the following…

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