day dx2 -2 dy x +y = dx +y = 2 cos x

Q: (√x² + y² − 2) dx + (²√x² + y² − 1) dy = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: cos y dy – x sinx dx = 0

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Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: n+1 n+1] Un V5 2 as the final solution. Observe that despite the V5s: uo = 1, u1 = 1, u2 = 2, u3 =…

A: Let us consider a second order difference equation  un+2=un+1+un…

Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: 13.ydx + (3x —ху+ 2)dy — 0

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Q: dy =D0 %3D

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Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: dy 1. tanxsin2y = sin²x + cos²y - dx

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: S.lve this separable diff. egly dy+dey= 6X 2x4

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Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: 1. Find the absolute and percent relative uncertainty. a. 6.2 (±0.2)-4.1 (0.1) = ? b. 9.43 (+0.05) x…

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Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: d³u 2 dr5 d*u - 7- dr4 + 12 d³u dr3

A: The differential equation is given 2d5udr5-7d4udr4+12d3udr3+8d2udr2=0. Here ,s=ddr then equation…

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: 3. у(3x3 — х + у)dx + x?(1 — х?)dy 3D 0 4. у(2х — у + 1)dx + x(3х — 4у + 3)dy 3D 0 5. (r + sin 0 –…

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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: O y"+y= secx cosecx %3D

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Q: 4. t dv + (v – v² ln t)dt = 0

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Q: Question 2 What is the degree of the differential equation 2³ 4² + x² ( 4 ) ³ + x²y = sin æ 3 3 By…

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Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…