Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

Q: General solution of 2xydx+y^2dy=0

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Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: у" +10y' + 25у %30

A: Given the differential equation is y" + 10y' + 25y = 0. Here the auxiliary equation is m2 + 10m + 25…

Q: y" +x²y' + 6y = 2 + 12x %3D

A: Since you have asked multiple questions so  as per guidelines we will solve the first question for…

Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Solve a'y' =1-x² + y² - x³y². Final solution must be in an explicit form!

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Q: 2x'+4x-6-0

A:

Q: Fx) = メ- Sinx fax) メー Sinx %3D tind absolute max and min Prom -iT, ->

A: Solution is given below:

Q: Solve 3- (1 + x)y' – xy = 1 - x x .. 2 د. علشان مایه رندار

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Q: у +3у-еX denkleminin genel ҫozйтйпй bulunuz. a. y = e^(-3x)/6 + ce^(-3x) O b. y = e^(3x)/6 +…

A: The given differential equation is                                                      y'+3y=e3x…

Q: 5. Зх — 4у %3D —5 -x + 3y = -5

A: Ans.       3x-4y=-5→       l             -x+3y=-5 →        ll     equation l+3×equation 2…

Q: y" + у' — 6у %3 50хе2х + 4e*,

A: The D operator method is a very useful tool to solve a non-homogeneous linear differential equation.…

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

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Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed…

A: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed to…

Q: y' = 2x + 2y +1 3x +y -2 ty

A: Given differential equation y'=2x+2y+13x+y-2. The objective is to solve the differential equation.

Q: If TR =7X-5, PA=9X+1, and EZ=14, then x=

A: we know that ,  EZ = (TR+PA) /2

Q: Find the general solution for each of the following DEs i) y"'" + 4y" – 5y = 0

A: Given

Q: 1. 5у" + y' 3 -6х, у (0) %3D 0, у'(0) — —10 ||

A:

Q: 15.) y = ae* + blnx + cx + d

A: We have to find the general solution of the equation y=aex+blnx+cx+d where a, b, c and d are…

Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: e y" – 2y' + y = 1+ r² 2y' + у 3 + Зе* 1 + r2

A: Given,

Q: 5. Solve IVP у" - 4y" + 7y - бу %3D 0, у(0) %3D 1, у'(0) — 0, у" (0) — 0

A: See the attachment

Q: Q2: Solve 1- y// + y = secx

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Solve of the following system: — 3^1 + 22 — 2"з — —7 5x1 + 3x2 – 4.3 = 2 - X1 + 2x2 – 3x3 = -1

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Q: 12 z² + \82c - 3

A: given function is solved with the help of differentiation rule i.e. Quotient rule (fg) = gf'-fg'g2…

Q: Find y! y = (5x - 4)(3x + 1) O 30x - 7 O 15x - 7 O 30x - 17 O 30x - 3.5

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: Solve د. سامان سایت رندار 4- (3x2 + 6xy2)dx + (6x2y + 4y3)dy = 0

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Q: А сurve bas equation y%3 (x+3}x* -3х+6). Explain wһу у%3(х+3Xx*-3х+6) is always positive for x>-3.

A: The solution is :

Q: у" - 2y' - Зу %3D 4x -5 + 6хех |

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Q: -[3x+(8x+1)]=6-(2x+4) Linear equation with on variable

A: Given,