- 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: 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: Non-homogeneous Linear Equation with Constant Coefficients 4. Find the solution of (D2-4)y=4x-3e%.…

A: As per our guidelines we are supposed to answer only first question, so i solve question number (4)…

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

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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: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

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Q: Classify the following partial differential equation according to the sign of the expression B²-4AC…

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Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: y' =xy

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Q: If y = v3x , then y' is A. -1/2 B. V3 x -1/2 С. /3x V3 D. 2 V3 -1/2

A: Given y=3x

Q: the associateu mCs are paamei. 6. Find the DE of y = ax2 + bx + c by eliminating the arbitrary…

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Q: Q4/ In a mass-spring-damper system, the acceleration x₁ (m/s²), velocity x₂ (m/s) and displacement…

A: We are to solve for x_1 , x_2, x_3

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: 2. Differentiate the following equations. a. Differentiate. 11 y 1=22²2²² 7x²

A: Since we are given with the multiple  number of subpart  question answer will be according to the…

Q: The differential equation, (x + 3y - 5) dx - (3x + y - 7) dy = 0 can be transformed into homogeneous…

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Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. ә2u ә2u…

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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: (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: Find the solution. y' = y - xy³ e-2x A e2=x²(y²+c) B e2Y =x²(y²+c) (c) edx =y²(x²+c) (D D e=y²(x²+c)

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

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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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…