Need help proving this     −z = (−1)z.

Q: Solve the following 2nd order D.E: y'' + 2 y' = x^2-e^x

A: given ,         differential equation,   y''+2y'=x2-ex

Q: What is ∫3x^4(−x^5+5)^4 dx? Do not include the constant "+C" in your answer. For example, if you…

A: We have to find solution

Q: e a) y"+ by 19y x² + 1

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Q: d²y - y = у 3 10sin?x %3| dx2

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Q: Obtain the general solution valid near the origin: 2y" + 9xy' − 36y = 0

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Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: (2xy tx?+x*) dx - (Itx²) dy=D0

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Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: Express the general solution in terms of Bessel functions: 4x?y" – 4xy/ + (16x² + 3)y = 0

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Q: Q2\ Find the general solution to the given Euler x?y – 3xy' + 9y = 0

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Q: Q2. If the solution of the below first order D.E is y = Cefxy) (x + xy?)y' = y3 Find the f(x, y).

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Q: B) Express Co5(2) in the form u+1 V

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: Xy = ý+2xy is DE, solve it:

A: ..............(1)

Q: SOLVE THE FIRST ORDER DE. (x² – 3bxy + 2b²y²)(xdx + ydy) = xdy – ydx

A: Given differential equation is (x2-3bxy+2b2y2)(xdx+ydy)=xdy-ydx

Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: Find two fundamental solutions x²y" + 4xy' + (2+x)y= 0,

A: We have to solve given problem:

Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (3y³ – x³) dx = 3xy² dy; y(1) = 2

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Q: Evaluate the following and show all necessary solutions. Enclose your final answer. (x² + 1)dx | 5…

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Q: Solve the following DE (use any method) (6xy)dx + (4y² + 9x²)dy = 0

A: given differential equation is…

Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for…

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: Let y(x) be the solution for the DE : У 3 (х +у-1)2 If y(0) = 1, then find y() 8 - JT JT Зл 4 Зл -…

A: Here to solve the given differential equation first we change the variable y by a  transformation .…

Q: Determine the general solution for the following: dy 2xy – 9x? + (2y +x² + 1)() = 0 xp.

A: As we know that: The differential equation, Mdx+Ndy=0 is exact,  if ∂M∂y=∂N∂x. The solution is:…

Q: Q2: find the general solution: (D* - DD')z = (x² – 2y)e" + sin (2x – y) •2

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Q: dx J. (3+x²)$/z

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Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

Q: 13. Differentiate y = e** with respect to x . ,3x+1 C (3x+1)e³x! D 3xe*+1 O A В D A

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Q: For the following problem: 10 dx x²V25 Verify whether the following the solution: 2/25 - x? +C

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: y = ce* + c2e²x 3.

A: To eliminate the arbitary constants.

Q: · C;e2x + c2xe* 1. y = 2x + c

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Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: Find the general solution of the following DE in explicit form. y' =3+2/y-3x +12.

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Q: V9-r² S xydzdydx •3 (d) S So

A: We have to find value of given triple integration

Q: 4. Find the general solution for the DE below: a) = x b)= 3r²-1 dx 2s

A: Seperate the Variables before applying the integral.

Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: dv Solve ax + by + c dx

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Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

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Q: Use the substitution y = xm to find the general solution to: x2yn - 2xy' - 4y = 0. Show all of…

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Q: Check for exactness and obtain the general solution. 1. -x(4y3 – 3xy – 6)dx – (6x²y² + 1- x³)dy = 0

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Q: make use od auxiliary questions to solve (y²+yz+z²)dx + (z²+zx+x²)dy+(x²+xy+y²)dz=0

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Q: Make the substitution v = In x to find the general solution of 81xy + 162xy' – 10y = 0, for x>0. !3!

A: The given differential equation 81x2y''+162xy'-10y=0Let…

Q: f(x) = E Cnx". n=0 What is the lowest term with a nonzero coefficient.

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Q: 2. Determine the general solution to the equation y' + 2xy = e-2". %3D

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Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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Q: What is ∫3x(x^2+2)^5 dx? Do not include the constant "+C" in your answer. For example, if you found…

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