Which of the following is a homogeneous DE? a. zydx + (x - y?)dy -0 b. y'+2ry =1 c y'+y= sinx d. xy' -4y =x*e* C.

Q: Which of the following differential forms are exact? (y² – t²) dt + (2ty – y) dy O ye' dt – e' dy O…

A: To find  Which of the given differential equations are exact.

Q: Find the total differential. w = x7yz9 + sin(yz) dw = 7x°yz° dx + 6.9 7_9 +2 cos (yz) )dy + (9x'yz°…

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Q: Calculate the total differential dz for z = r sinh(ry) + yelv

A: Note- since you have asked multiple questions, So Acc. to Bartleby guidelines we are supposed to do…

Q: Solve the equation for heat. azu ди with 0 0 %3D ax? at u(0,t) = u(n, t) = 0 и(х, 0) — х %3D 0 <x <…

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Q: Evaluate the following integral in cylindrical coordinates. 5 5 125 -x 4 1 dz dy dx 1+ x2 + y2 - 5 0…

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Q: Use Euler's method with h = 0.25 to compute approximate value of y(1) for the IVP: (a) dy 1 = y sin…

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Q: For the homogeneous equation x(x² + y²)²Cydx – xdy) + yºdy = 0, do the following: 1. Show or prove…

A: A  first  order  differntial  equation is said to be homogeneousif  Mx,y  and  Nx,y  are  both…

Q: y = Vx, 1 SxS 8 (a) Integrate with respect to x. -(9) )* (b) Integrate with respect to y. 2 2nyV1+…

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Q: calculate the total differential dz for  z= x sinh(xy) + y^2 e^(x/y)

A: Given: z=xsinh(xy)+y2exy .

Q: Evaluate the iterated double integral 2.) S S ₁² x y e² dxdy 2 b.) ^ S = sinTy³ dydx JI-X² c.) ["…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Which of the following DEs is not homogeneous? (1) xy-y² = d dx (3) sin dx+ + In dy = (2) (x² –…

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Q: check if it is homogeneous and to what degree (3x - cosy)dy t_x' dy =0

A: Find your answer below

Q: (a) Find the differential dy. y = ex/4 dy = %3D (b) Evaluate dy for the given values of x and dx x =…

A: we have to derivative

Q: For the homogeneous equation x(x² + y²)²(ydx - xdy) + y°dy = 0, do the following: 1. Show or prove…

A: We need to find general solution.

Q: (xy2+y²) dx + sec2(1/y)dy=0 is alan A Exact DE B Homogeneous DE Variable Separable DE none of the…

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Q: 3. If w = e3x-2y cos 4z where x = Int , y = In (t² + 1), z = t3, aw at t = 1? at what is the value…

A: Consider the following equation: w=e3x-2ycos4z Substitute x=lnt, y=lnt2+1 and z=t3 in the above…

Q: x = In(8y + 1), osys1 (a) Integrate with respect to x. dx (b) Integrate with respect to y. Ap

A: We have to find

Q: Evaluate the triple integral. -{x, v. 2) 1 0 s x s 1,0 s ys x, x szs 2x} 19yz cos(16x5) dV, where E…

A: According to the given information, it is required to evaluate the triple integral.

Q: 4. If the curve y = In x between x = 1 and x = e is rotated about the y axis, which integral below…

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

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Q: If f(x, y) = 17e* cos x + 6 cot y, then the total differential of ƒ at ( 0, ÷) i : O df = 17 dx + 12…

A: f(x,y)=17e-xcos x +6 cot y

Q: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

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Q: Find the total differential of the following: 1. f(x, y,z) =-tan'(x + y +z)+ In(xyz)

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Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"…

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Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+ x(x+2y)dy =0 2 A 2 © x²

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Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+x(x+2 y)dy =0 ? 1 A x2 B x2 2

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Q: Find Homogeneous DE y'-ay=0

A: Given that: y'-ay=0

Q: 5) y ² ( x dy + ydx) = (xy + 2) dyz

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Q: consider this: (1+2xy3)dx+(3x2y2-(1/y))dy=0 A) is it Seperable B) is it homogeneous C) Is it…

A: Considering given differential equation, we have to find A) , B), C)

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: Verify the condition of integrability for the given total differential equatior (3x*y2 – e*z)dx +…

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Q: Evaluate the following integral in cylindrical coordinates. 4 V16 - x2 3 1 -dz dy dx v2 1+x + -4 0 0

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Q: find the general selution of the differential equetion by the fimear methodi sxy'-2y=x

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Q: For the homogeneous equation y?dy = x(xdy - ydx)e"by, do the following: 1. Derive the integrable…

A: We have to find general solution.

Q: Evaluate the iterated integral. 3 4 5 /// + x² + z² ) dx dy dz -3 0 0 3 4 5 !! (x² + y² + z² )dx dy…

A: We have to find

Q: And And where What is the produc A C sdR = dxi + dyj + dzk 3 Ã = zi – xj – yk Cya S. Ā.dR of…

A: Ans = 11/2  For detail go through the solution

Q: |4-x²-y2 1 6. Given ſ SN*-> dz dx dy x²+y²+z² (a) Express the given integral as a triple integral in…

A: Find your answer below

Q: find the general solution to the homogeneous DE [xsin(y/x)-ycos(y/x)]dx+xcos(y/x)dy=0

A: The solution is given as

Q: If f(1, y) = 17e cos z+ 9 cot y, then the total differential of f at (0,) is O df = -17 dr + 18 dy O…

A: Given that:-     fx,y=17e-xcosx+9coty  we know that total differential is =     df=fxdx+fydy…

Q: Given y = 4e* + In x, find the differential dy. %3D

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Q: quation y-dy= x(xd erive the integrable functions (variables %3D

A: Here we have the homogeneous equation y2dy=x(xdy-ydx)exy ......................... (1)

Q: The total differential of g(x, y) = e*z²-y is at A(1,4) is %3D Select one: a. dg(A)=(8-1)e^(0) O b.…

A: Consider the following function: gx,y=e4x2-y Differentiate gx,y with respect to x taking y as…

Q: If f(x, y) = 16e * cos x + 4 cot y, then the total differential of f at (0, is: O df = 16 dæ – 8 dy…

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Q: -y lny+y ln x)dx + x(In y – In x)dy = 0

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Q: с. (х — 2у)dx + (у — 2х) dy %3D 0

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Q: 6. Find S(3y – y³) (1– y?)dy sin ycos y 7. Integrate: J sin² y dy 8. Find 3 S(5 - 3y-5)²dy

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Q: Find the total differential of the following: 1. f(x, y) = sin x+ ye 2. f(x, y, 2) = – tan"(x+ y+ z)…

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: Find the total differential of z = In(x + y), x = w, y= w?. By how much will z change if w increases…

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Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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