Solve the differential equation Y²+59² +6y=9 x ²¹ x

Q: 11. (2х — бу + 4)dx + (х — 2у — 3)dy — 0; when x — 1, у %3 1

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Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: Solve the differential equation  4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0   To solve: The given differential equation.

Q: Solve the Exact differential equation ydx-xdy + 3x³y²e¹¹dx=0

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Q: 12. (4х + Зу — 7)dx + (3х — 7у + 4)dy %3D 0; whe х %3D 1,у %3D1

A: Solve for the differential equation (4x+3y-7) dx + (3x-7y+4)dy=0; when x=1,y=1.

Q: 9. (x + x* + 2x²y² + y4)dx +y dy = 0; when x = 1,y = 1

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Q: - (t/z? + y² – y) at dt + (y/t² – y² – t) dy = 0; when t 3,y = 4

A: Answer is  ty=3(t2+y2)3/2-363

Q: Solve the differential equation  xdy-{y+xy3(1+logx)}dx=0

A: Given differential equation is : xdy-y+xy31+logxdx=0 To solve the given differential equation .

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: Solve the differential equation dy-1xy = x²y² dx

A: The given differential equation is in the standard form of the Bernoulli differential equation. The…

Q: 10. (2ху*eУ + 2хуз + у) dх + (x?y*eУ — х?у?— 3х) dy — 0; when x - -1, у — 1

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Q: (xy + y ln y)dx + (xy + x In x)dy = 0; when x = 1, y = 1

A: 7. The given differential equation is  (xy + y ln(y))  dx + (xy + x ln(x )) dy= 0   ....(1) with…

Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: 6. (y cos x + 2xev)dx + (sin x + x²e° + 2)dy = 0; when x = 0, y = 0

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Q: 4. cos x dy + y(sin x – 1)dx = 0; when x = T, y = -2

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Q: ut) + ucx) +v(x) > o. v'x) -3ulx) -2vVI) zO

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Q: solve the differential equation dy/dx = 4xsec y

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Q: 5. (e* – sin y)dx + cos y dy = 0; when x 0,y = 1/2

A: First we will convert the given differential equation into linear differential equation by…

Q: Solve the differential equation: (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0

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