ting the arbitrary constants of the family of curves differential form or normal form. whether y sin cx is a solution to the differential

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A: Please refer to the image below

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A: Let's solve differential equation by using Laplace transform.

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Q: x-x

A: we will  show the required limit.

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Q: Eliminate the constant: 3x 3x y=c₁₂e³+€₁₂€ ³ Oy"-4y+3y=0 Oy"-6y¹+9y=x Oy"+ 6y' +9y=0 Oy"-6y'+9y=0

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A: Solve for the limits

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A: Please refer to the image below

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Q: Eliminate the constant: 2x 3x =c₂₁e²x + c₁₂e³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

A:

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Q: Using differentials, approximate the change, in terms of ?, in the total surface area of a closed…

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