11. Put the following equation in separated form, do not integrate. dy с. = sec (y)e*-y(1 + x) dx

Q: Find the differential dy of the given function. y = V3- x² dy

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x3/4 %D dy =

A: given y = 8x34  we find the differential dy of the above function.

Q: Find an integrating factor for the DE y(4x – 3y – 3)dx +x(x– 2y –- 1) dy=0

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: Find the differential dy of the given function. y = V4 - x2 dy =

A:

Q: 1. Put the following equation in separated form, do not integrate. dy _ x?y-4y a. dx x+4

A: Take y common from the numerator of right hand side.

Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: What is the integrating factor of the D.E. 2y dx + (x- sin vy) dy =0 ?

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Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: Find an integrating factor for the DE y(4x – 3y – 3) dx +x(x- 2y – 1) dy=0_

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: The given integral is ∫04∫y2y(1+xy2)dx dy

Q: hello! can you help me with this calculus problem?

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Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? |

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: 4. Evaluate e*dx using integration by parts.

A: Explanation and solutions is given below.....

Q: Show that u (X ) = 3X+ 2x is asolution to the integral equation 3(1+x)? X - S sinh (x-t) ultJ dt

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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Q: Find the differential dy of the given function. y = Invs - x dy =

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Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Compute the differential dy for y = 4x³ + 2x?. dy =0

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Q: dy 4. y dx ;y(1) = 3 x(х+1)

A: In this question , Firstly we can integrate on both sides and solve the integral. After that we can…

Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: Find dx 2n S sin (P) at (?)dt y=

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Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: The Integrating Factor for the DE y dx = (ye' – 2x)dy %3D is: -2y レマ None of These 2y

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Q: Find the differential dy of the given function. y = V 3 - x2 dy =

A: Find derivative

Q: Show that the equation dy/dx=x^2/(1−y^2) is separable, and then find an equation for its integral…

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Q: 8. When reduced to a linear DE of order one in z, bernoulli' equation dy/dx +y (1/x) =3x2y2

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Q: Find the differential dy of the given function. y = V4 - x2 dy

A: Consider the given function. The problem requires to find the differential dy of the given…

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

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Q: ve the given differential equati dy dx - (1 + x)y = xy

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Q: dx-(it 2x tany) dy-0

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Q: 11. Put the following equation in separated form, do not integrate. dy C. dx = sec (y)e*->(1+ x) d.…

A: we have to make in separable form

Q: What is the characteristic equation for dy 2. dt d²y y +2+e' sin 3t dt 2

A: Characteristic equation for the given differential equation:

Q: determine an integrating factor for the given DE? (−xy sinx + 2y cosx) dx + 2xcosx dy = 0

A: we have to find the Integrating factor of the given differential equation

Q: Find the integrating factor that converts the equation below into an exact equation y de + (2x – y…

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Q: at is the integrating factor of the given differential uation? (2y3 – x*)dx + 3x²ydy = 0

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Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: 11. Put the following equation in separated form, do not integrate. dy b. dx ху (x+1)(y+1)

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Q: What is the integrating factor of the linear De of order one ydx + (2 – xy)dy= 0 ?

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = arctan(x – 2) dy = ||

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Q: 1. Defermine the integrating thators of the pallo wing non- exnet exact esuations. A. (1+ 4xy -…

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Q: Solve the differential equatic y' = (x + y + 2)², Chart Area y(0) = 2 by setting u = x + y + 2.

A: y'=x+y+22let u=x+y+2     u'=1+y'     y'=u'-1

Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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Q: Can i get help step by step please

A: Given