4. ( * x)dk =(2y-)dy 2Y- I+x?y2

Q: (2v2 + 4u2v)du + (4uv + 3u³)dv = 0

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Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: 2. 4хy y' %3 3x - 2ху + 3у?

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Q: 2. (s-s?- t?)ds + (t + s² +t ?)dt = 0 %3D

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Q: xY + x) dy + ydx = C = xy – 3y³ C = 3xy + y° О Option 1 Option 2 C = xy – 3y3 C = -3xy+ y

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Q: Solve the differential equation. dy = 5x* e -y dx

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Q: dy dx 2₁ y x = x + 2√/ X X

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Q: 8. (x – 3y) dx + (3x – y) dy = 0; y(0) = 2

A: Homogeneous Differential Equation: A differential equation of the form f(x, y)dy = g(x, y)dx is said…

Q: Solve the differential Equation. Show complete and detailed solution.

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Q: - = y? + xy dx

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Q: 2 2 dy 3. dx 2y +=x'y'sin x

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Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Solve u'(t) + u (t) = 5 subject to u (2) = −6.

A: given differential equation :-u'(t)+u(t) =5   subject to   u(2) = -6let   u(t)=ythen differential…

Q: Solve the following differential equations : 1. xdy + ( 4y - )dx = 0 when x = 1, y = 1 y

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Q: dy + y [ tanx + xy² Sec? (x ) ] dx = 0

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Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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Q: PLEASE ANSWER ITEM NUMBER 10 ONLY. DIFFERENTIAL EQUATIONS.

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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: y = Cje² + C2xe* + C3x²e* %D O y" + 3y" + 3y' + y = 0 y" – 3y" + 3y' + y = 0 %3D + 3y" + 3y' – y = 0…

A: Given data is: y=C1ex+C2xex+C3x2ex

Q: III. Homogeneous DE 1. x dy + (y – 2x) dx = 0 2. (2x + 3y) dx + (3x + 2y) dy = 0 3. 3(x2 – y?) dx +…

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Q: aur + 2xyury + y*uyy = 0

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