Classify the following DE as Linear or Non-linear. 1. d'y +5 dy + бу 3D 0 dx2 dx 2. + x2. dx4 d'y d³y + x3 dy dx xex %3D dx3 3. d²y + 5 + 6y? = 0 dx2 dx 4. dx2 d'y + 5y dy + 6y = 0 dx d²y 3 5. dx2 + cosxy = 0

Q: (2xy) dx + (y²-3x²) dy = 0

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

Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: The first-order DE is a linear equation if it has the following form: A a;(v) +a,(1y)x= g(x)"* dx dx…

A: A first order linear differential equation is an equation in which the highest derivative of the…

Q: [2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c);…

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Q: d³y d?y dy = y + 4 а. dx3 dx² dx d³y d²y dy b. dx3 — у+4 сos xх dx dx² d²y_d²y dy С. dx³ —D у+4сos y…

A: As we know that; The standard form of the linear differential equation is:…

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 1 Evaluate dx. 4+e-3а 1 dx 4 + e-3x + C %3D

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Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: Usethemethodofundeterminedcoefficientstofindthecompletesolutionsofthefollowingdifferential equations…

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Q: dy y(x + y) dx 6) x(x – y)

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (x – y)(4x + y)dx + x(5x – y)dy = 0.

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Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: (2) y(x2 + y2 – 1)dx + x(x² + y² + 1)dy = 0

A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please…

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

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

Q: 2- Linear edluan 1 - y' +スリ= 2é 2- x y'ony-ax? %3D 3. (x-2) y`+y. x 4 4-(49-3x)dX+5X dy = - 5_ dy dx…

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Q: Determine d²y of the curve x³y³ = 1. dx² d²y dx² X d²y_2y dx²x2 d²y dx² -x+y Odly - 36xy d²y dx²

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Q: d/dx (2x'y²+8x-2y+3)=? Select one: a. xºy2 b. 14x°y? O c. 14x®y²+8 С. d. 14x°y²+2y O e. 2x'y?+8x-2y

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Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: 3+6z²+3z+6 dr z+2z

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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: Given Lines Line 21 3x + 11y188 = 0 Live 3 - 11x-3y +56=0 Line 1 - 3x + Hy + 15=0 3x -15 11 Live 3:…

A: Given linesLine Line  Line

Q: дхду дхдудх dx² dy

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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: Use the exact techniques to determine the solution to (2y? + 2y + 4x2)dr + (2ry + x)dy = 0.

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Q: 2 d² 2 + ( x x - y)² - 3y² = 0 dy dx • Solve x²yd²y

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Q: 2 1) (-2xy) dx + ( Sing-x²) dy

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: 6. y = V7+ V3x+1 4х-5 y 2x+1 7. у 3 8. у %3 Зx+1 y = Зx? +2

A: according to our guidelines we can answer only one question and rest can be reposted.thanku