у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

Q: у" - у' - 2sin 2x

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Q: Enter the coordinates of the solution of these two linear eq

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Q: The sum of the reciprocals of Rahman's ages (in years ) 3 years ago and 5 years from now is 1/3…

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Q: fud General Solution dy-3y=

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Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: Obtain general solution of y' = y + y^3.

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

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: Obtain 2 linearly independent solutions valid near the origin for x>0 2хy" + 5(1 — 2х)у' — 5у %3D 0.…

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Q: Find all the separable solutions to the equation 0 0 и, (0, г) %— и,(1,1) 3 0, г>0. Ин — ихх + и…

A: In the given question we have to find the solution of the given non homogenuous wave equation s.t…

Q: 2- S --y Vty zdzdxdy

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Q: Let (x, Y,) be the solution of the following equations (2x)" = (3y)m3 3Inx = 2lny In 2 %3| %3D Then…

A: Introduction :

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

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Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

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Q: Find mZF. 4/30 G 4/30 E mZF %3D Submit

A: We have to find the angle

Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: If mQT = (27x + 3)', mRT = (9x – 5) and mZRST= (10x-2)', find mRT. %3D T R. mRT

A: According to the problem, we have The Secant-Tangent Theorem says that  Measure angle RST=…

Q: dr a) de rcose + rsene subject to r(0) = 1 (solve by separation of variables)

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Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

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Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

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Q: 6(-ズ) -2Xg +zy= @ y'= -2xy 6ずー+メ =o S(+2x)ず+3x+}=0 3-を

A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

Q: 1- , L, v² e*dydx 2- S S マーーー ydxdzdy a>0

A: Explanation of the solution is given below...

Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: 2. у" — у' — х %3D 0

A: To solve the given differential equation.

Q: Find the general solution of the given second-order rerential eque 5y" + y = 0 y(x) = %3D

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Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: The equation X2 - 19Y² = 13 has an integral solution, i.e., there is a pair hat x2 19y2= 13. (proof…

A: We have to solve given problems:

Q: Solve for all other parts of each AVDG. Round off your 6. ZG =113°, v = 13, d = 23

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Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: 37) Find YX 38) Find mX 22x+ 68x-I 23x-1 21x+1 39) Find mzF 40) Find mzD D. D 23x 1 20x-5 18x +7…

A: Since you have posted multiple questions we will solve the first question for you. To get the other…

Q: The general solution of 5uxx – 6uxy +uyy = 0 -

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)m3 3Inx: = 2Iny Then is

A: This is very complicated & lengthy problem.So I can do it in Advanced Mathematics.

Q: 2xy y' + 2x² x' = y² x'

A: Given: 2xyy' + 2x3x' = y2x' ⇒2xydy + 2x3dx = y2dx ⇒2xydy- y2dx=- 2x3dx

Q: If mQT = (27x + 3)', mRT = (9x - 5)° and MZRST = (10x – 2)', find mRT. %3D %3D

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Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: general

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Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: I have included one line of the whole solution in the questionnaire. Analyze if this included part…

A: y = ln(1-5y2 +y3) now differentiate it y' = (-10y+3y2 )/(1-5y2 +y3) here between (+) sign so there…

Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius…

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on…

Q: If mzQPS = (15x+ 8) and mR = (10x-3), find mzR. %3D S.

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Q: 4- Fct) = Sint ost<T くもく2

A: We have to find the Laplace transform given step function.

Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.