Solve 2y'' - 5y' - 25y = 0, y(0) = 0, y’(0) = = y(t) = - 37.5

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

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Q: solve for x, (2² + 20x) ((2,² + 20x)/(2r/5 + 20))23 = 2/3 = 1489.64 2x + 20x

A: Let's find.

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A: y=3e2x1+x2

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A:

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Solve -L,E 0) = -6, y(0) = 27 %3D %3D 17 -9 x(t) = y(t) = %3D Question Help: DVideo

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Q: Solve yuyx - Ux=4/x

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A: You can solve by finding auxiliary equation

Q: ydx-4xdy=y^6dy when y(4)=1 solve using linear equation

A: This question is based on solution of linear differential equation.

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: solve  (-y)(y^2)

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Q: Solve (2x^2y +y)dx+xdy =0

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Q: t/3 -5t/6 = 10-t /12

A: