Solve the following IVP y"-y'+y/4=0, y(0)=2, y'(0)=1/3

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: Find an energy function for the differential equation y"=-y3

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Q: Consider the following equation (1−2x−x^(2))y''+2(1+x)y′−2y=0

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

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Q: The y' for y = (x³ +

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Q: How do you solve y'' + 7y' + 6y = te^-t?

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Q: -dx + 1 - x²y? dy. 1– a²y? dx = constant. help (formulas)

A: Given that dx=y1-x2y2dx+x1-x2y2dy The objective is to find the solution for the differential…

Q: Let y = ky(1 – n) and y (0) = 2 and y(0) = 5. %3D 10 What is k? k = 4/5 What is y(3)? y(3) =…

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Q: Find y' if y = (4 + 1)15z+17

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Q: If y = (3x+8)x, compute y'(1). y'(1) = X

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: . y′ = 2y y'

A: Given differential equation: We have to find the solution of the given differential equation.

Q: Create an equation to which the following solution apply: y=e^(-6x) and y=e^(-x) In the form of: y"+…

A: Solution is given below in details.

Q: solve     y'' - y' - 4y = e6x

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Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Find y' 1. y = (x3-5x2)5 2. y = 3x-1+5x2

A: The functions: 1. y=x3-5x25 2. y=3x-1+5x2

Q: ンX>0 y3

A: Given: y'+yx=5y3

Q: Solve the first and second derivative of y = cosh2x+ sinhx

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