Solve the given initial-value problem. The DE is a Bernoulli equation. y'/2 dy + y/2 = 1, y(0) = 16 dx 3 1+ 63e Your answer cannot be understood or graded. More Information

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A: We will find out the required general solution .

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Q: Prove that if x+y=%30 then y=-x

A: See the attachment

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A: The detailed answer is shown below Explanation:I hope this helps.Thankyou Please do rate

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Q: Solve the following two Euler's differential equations: (a) x²y" - 7xy' + 16y = 0 (b) x²y" + 3xy' +…

A: The given Euler's differential equations are a) x2y''-7xy'+16y=0b) x2y''+3xy'+4y=0

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A: Simply solve the given differential equation and compare with the  given solution.

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Q: Please Solve Using Differential Equation Thank you!

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Q: y'+9xe"+3* = 0 y+3x

A: We use method of Variable separable to solve this differential equation

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Q: µS * = x Ме

A: The given differential equation is written as  X"=X-us/meX'

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A: We will find out the required general solution.

Q: Solve (D² + 4D + 5) = 0 ,y(0) = 1 ,y'(0) = 0. %3D

A: Differential equation