2xyy' + (x – 1)y² = x²e* |

Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: 12e* y' - 2y'+ y = 3

A:

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

A:

Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

Q: xy^(2)y' = x^(3) + y^(3)

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Q: if y= (1+e^x)X^3 then find y`

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Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

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Q: y = 5** +(3–x²)

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Q: y''''' - 3y'''' + 3y''' - y" = 0

A: To solve y""'-3y""+3y"'-y"=0

Q: x^2y^{''}+xy^'+4y=0\:

A:

Q: Find y' if y= is-2x(+)* +

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Get the first order derivative of the function x + sin(y – 2x) - 1= 0 - 2 1 a. y' = cos(y-2x) 1 b.…

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Q: Differentiate. y = 1 — х* y' =

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Q: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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Q: 2x-1 n' (x) = x2 –x

A: Given,          Anti-derivatives of n'x=2x-1x2-x

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

A:

Q: y''''' + 8y''' + 16y' = 0

A: Given differential equation yV+8y'''+16y'=0 We have to find the general solution of the given…

Q: Suppose dy/dx= (3x+1) √(3x^2+2x) and y(0)=1. what is y(5)?

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Q: y" – 12y" + 32y = 42e",

A:

Q: y'' + 4y' = sin^2 x

A: Given differential equation is: y''+4y'=sin2x Solution of differential equation is sum of…

Q: 6. (D² + 1)y = 10e* sin x

A: see below the answer and explanation

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: Q6/Find the derivative (df/dx) f(x) =+5 e* %3D -4 x-7/3 + 5e* x-7/3 + 5e* O 1, O 2 Fr73 + 6e"

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Q: Find y as a function of a if = y"-7y" +12y = 6e², y(0) = 24, y' (0) = 16, y" (0) = 27. y(x)=

A: