Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

Q: 19. (y² + 1) dx = y sec² x dy %3D

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Q: au au = xt at (x > 0,t > 0) ax u(0, t) = 0 u(x,0) = 0

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Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

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Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: b. [2xy cos(x²) – 2xy + 1]dx + [sin(x²) – x²]dy = 0

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Q: (x + y sin ) da - dy = 0

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Q: Find the most general solution of the equation: [tt + t²y = 0 d dt

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Q: sin-1 х — у- dx + (tan-1(yx-1))xdy = 0 | cos

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Q: 1. 7ху' — 2у + (E) - = 0

A: Given differential equation  7xy'-2y+xy6=0

Q: У - 2у+ %3D 1+ x

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Q: (Ре?У — х)ӑx — 2е?У (е?у + Рx)dy 2e2y (e2y + Px)dy || -

A: The given equation is P(e2y-x)dx=2e2y(e2y+Px)dx. It is an exact differential equation if ∂M∂y=∂N∂x.…

Q: (x² + 2xy- 4y?)dx- (x² – 8xy– 4y²)dy=0 | O x² + 4y² = C(x + y) O x2 +y2 = C(x+ 4y) O x2 + 2y? = C(x…

A: Solution(x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0dydx=x2+2xy-4y2x2-8xy-4y2(∙)this differential equation is…

Q: 16. (12x2 - 10ху +2у' +4) dx +(бху? - 5x3) dy %3D0 18. (tan y+ ycos.x)dx+( senx+x sec² y)dy = 0

A: Follow next step