Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)5e-x dy = 0 1 4(ex + 1) 1 (e + 1)¹ + C X

Q: Solve the differential equation using Coefficient Linear in the Two Variables. Show Complete…

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Q: 2.5 (x-9)dx +xdy=0 2.

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Q: dy Solve the differential equation = : 3y. dx A. y = Ce ³x B. y² + 3y = C C. y² + 3x = C D. y = 3x +…

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Q: 7. (x4y-3) dx (x - 6y-5)dy = 0 -

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Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…

A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…

Q: Solve the exact differential equation: (2x+1+2xy) dx + (x2 +  4y3) dy = 0

A: (2x+1+2xy ) dx + (x2 + 4y3) dy = 0  on comparing with   Mdx + Ndy  , we get ,       M =…

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: Determine whether the differential equation (8x² − 2xy + 6) dx + (2y² − x² + 8) dy = 0 is exact. If…

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Q: Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If…

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Q: dy = e2x-3y, using separable variable method. dx Solve the differential equation

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

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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…