du du 2- +3 = 0 dx dy 3 - U, tuy = U + Uy u Solution of Partial Di Separation of

Q: integrate using partial decomposition (y^2)/(y+1)(y-1)

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Q: 25. (y + √√x² + y²) dx − x dy = 0; when x = √√√3, y = 1. ANS. x² = 2y + 1.

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Q: x(x? – y? – x)dx – y(x² – y²)dy = 0 %3D

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Q: dy x COSY dx - siny=0 6 xcos)

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Q: complete Solution of equation the diffecential (Related to pde)

A: The given partial differential equation is f(x,y,z,p,q)=p2+6p+2q+4=0 Now, the Charpit's auxiliary…

Q: Dear Sir,   Please can you slove this equation. Partial derivative.

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Q: 28. y² dx + (x² + 3xy + 4y²) dy = 0; when x = 2, y = 1. ANS 462v + y) ln v. 2 v

A: See this solution in below.

Q: sin(2x³+8y*)_ 9x²+3y² 0, (x, y) + (0, 0) Suppose f(x, y) = Find the partial derivatives of ƒ at the…

A: Solution:Givenf(x,y)=sin(2x3+8y4)9x2+3y2(x,y)≠(0,0)0,(x,y)=(0,0)To findfx  and fy at…

Q: determination

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Q: Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

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Q: δu/δt = δ2u / δx2    Given that u (0,t ) = 0                          u (x, 0) = 10sin 2x -6sin 4x

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Q: . 2y(x + y+2)dx + (y² – x² – 4x – 1)dy = 0 - .xy² + 4xy + 2x² + y³ + y = C .x²y + 4xy+ 2x² + y³ + y…

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Q: x³dx (x² – 1)² dx 4. (x² – 6x + 13)² (² – 6x dx 5. (x² + 9)² 3.

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Q: 5. = 2y – 1 dx Solution: = = 2y – 1 (Multiply both sides by dx) = dy = (2y– 1)dx (Divide both sides…

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Q: [y + xsin (x/y) ]dy − ysin (x/y) dx = 0

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Q: Let yı(x) and y2(x) be two solutions of (1-x²)-2x dx² Wronskian W(x). dy If y, (0)=1, dx x=0 = 0 and…

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Q: de termine the general Silut ion of The equation X(Y3-x) dx -YY X) ミ。

A: Given differential equation: xy3-xx-yy3+xdt=0............(i) Rewritng the differential equation as…

Q: Ordinary or Partial Linear or Non- Linear Independent Variable Dependent Variable Order Degree y' =…

A: Given: Differential equation Ordinary or partial Linear or non linear Order Degree Independent…

Q: x' + 2x - 2y = 0, y' + x+ 2y=D0, x(0) = 1, y(0) = 1 %3D

A: We have to solve the given simultaneous differential equation

Q: Find all the first partial derivatives of z = 5a y-8y. (Choose all applicable answers.) O z = 40x'y-…

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Q: 10. Use the chain rule to find the indicated partial derivatives. (a) z = e"Y sin y, x = s+2t, y = ;…

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Q: ) 2xy-9x + (2y +x+1)_dy = 0 dx

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: u = te"/t f(x,y,z) = xyz² tan(yt) %3D

A: The solution of above question is written below.

Q: Find the indicated partial derivatives of: at the point (x, y) = (2, 4). of (2,4) = 8/81 (2,4)= | ||…

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Q: Z%3f(x, y)%3D 5(x^3)(y^2)-7x^2 +8y-4. Find the value of the second and mixed second partial…

A: We differentiate with respect to x twice, y will be treated as a constant.

Q: 5. y(2x? – xy + 1)dx + (x – y)dy = 0 a. xye** – y²e** = C b.xye** – 2y²e** = C %3D C. xye*² _ y?e*²…

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Q: .Obtain the particular solution x(3xy-4y^3+6)dx + (x^3-6x^2y^2-1)dy = 0

A: We have given differential equation,  Firstly we have to check whether exact or not.  Then we obtain…

Q: when Solving he inttial Valye prob TOX (x+1) (X'+9) dy dx abom) S Duse integration by partial…

A: dydx=10x4(x+1)(x2+9) We have to solve by using Integration by partial fraction