32. y""-2y" + 5y' y(0) = 4, -24e³x; y'(0) = −1, = y"(0) = -5

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

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Q: Find y' for y=3x-3-7x-¹. y'=0

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Q: In each of Problems 11 through 14, use Euler's method to find approximate values of the solution of…

A: As per the question we have the following first order differential equation : y' = (4 - ty)/(1 + y2)…

Q: Find y' and y". In(2x) y = 1- In(32) y' y"

A: The given function y = ln(2x)/(x^5):   Find the first derivative of the function y = ln(2x)/(x^5)…

Q: Find y'. In(5x) y = 4x y' =

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: 5. x' = (1²3) × X 5

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Q: x^2y''-2xy'+2y=8x^3; y(1)=8,y'(1)=15 Verify and solve

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Q: xy' = 3y + 8x, y(2) = 8. y= ((8x^8/8)+3)x^3

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Q: Find y'' in y = (1 + 1/x)3

A: We first expand the given expression first.

Q: 8) y'+y=17 sin(2t), y(0) =-1.

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Q: y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2…

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Q: 8. x' x, x(0) = - (-³)

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Q: solve. y'−( 1/x) y = x^3, where x>0

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Q: Find y'. In(5x) y = 7x

A: SOME RESULTS:     IF y= f(u) and u=g(x) then,  dydx=dydududx.      ddxuv=vdudx-udvdxv2,v is non…

Q: 5. x' -1 - = × 2 -3,

A: Given: x'=-1-122-3x  …………………………(1) To find : The general solution of the given system of equations…