- 2xz² = 3y ay Identify the following differential equations whether; d?y, dy 1. + dx2 ' dx 15 + 4y Ordinary and linear Ordinary and non - linear Partial and linear %3D Partial and non - linear az əz 3. ax d²y +y• dx3 d³y 4. dx2 — у +7 5. у" + 4y" + Зу %3D х

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: 2хy -y' y2-x2 a. 3yx? + y3 = k Зух? — Зу3 c. 3yx? - y3 =k d. yx? – y = k e. Not in the list. b. %3D…

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Q: dy = 2y and the solution to this equation includes the point (-1, 1), then y = dx 5. , Given (A) e²r…

A: Given : dy/dx= 2y includes point (-1, 1)

Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: y' + 2x³y = 0 diferansiyel denkleminin çözümü aşa Lütfen birini seçin: a.

A: It is evident that we need to find the solution to the integral. Note: Kindly post questions in…

Q: 5. Solve the equation * SHOW YOUR COMPLETE AND CLEAR SOLUTION. (»^)² + (x – 2x+ ) y' +x--xt = 0 |…

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Q: 18. (Зx?у — Зу)dx + (х3 + 8у — 3х)dy 3 0 19. (х — у)dx + (3х + у)dy 3D 0 %3D

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Q: 2. (3ху + Зу — 4) dx + (х + 1)? dy %3D 0. ANS. у 3D 2(х + 1)-1 + c(x + 1)-3.

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Q: y' =xy

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Q: ô² f_ ô² ƒ ôx² ây? The partial differential equation ,2x+3y is a. parabolic О Б. Нурerbolic О с.…

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Q: (4xy+5y)dx+(4x² +15xy-12y)dy=0. Use two methods.

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y =…

A: The expression d2ydx2 denotes the second derivative of y with respect to x. A polynomial function is…

Q: Determine the general solution of the differential equation: dy _Y -1+ x dx Select one: Оа. X. x² 2…

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Q: C. 6y = 3x3 – 2x² + x + 6e¬x? y' = x³ – 2xy when x = 0, y = 1 B. 4y = 2x2 – x + 3 + e¬*² A. 2y = x2…

A: Given y' = x3-2xy when x=0, y=1 y' +2xy = x3  Formula: ∫ex dx=ex∫xndx =xn+1n+1 For the differential…

Q: (9) Solve the following diserental equation dy dx 2 3+y 3.x 3-y = (9x - y²x), y(0) = 0 Answer: = e

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Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: d²y 1. + k?y = 0. dx2 2. at2 3. (x? + у?)dx + 2xydy %3D 0. 4. y' + P(x)у %3 Q (x). 5. y" — Зу' + 2у…

A: Use property of linear and non linear equation

Q: 2.ryy' = y? - 2x. Find the solution that passes through the point (1,2).

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Q: (ху + 1) dx + (ху — 1) dy %3D 0

A: As per the instruction, we will be answering only the first one. Here, M=xy+1 and N=xy-1. Now,…

Q: mit equatio x²y' + 2xy + O with respect to x and solve for y'. Skip (you cannot come back) x²y + xy²…

A: Given query is to find the derivative.

Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the following Partial Differential equation shown in the image, according to the method of:…

A: Given,           ∂2u∂y2+2∂u∂y-3u=x2y+4xe2y

Q: Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' - 2D° – D+ 2)y =…

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Q: Find the general solution or particular solution. 1. dy = (x-3y)dx 2. y'%3х- 2усоot 2x 3. (Зх- 1)…

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Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: DEGREE

A: We have to determine the order, degree and linearity of the given differential equations according…

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…