@ cDx -4D Dy +5 Dx Dy -zBj)u= e +2x -2x u= 中iyとx)+中2(当十×)+x43しy+x)+x. 3+2x 36

Q: Find the complete solution of dy + dx = 3r'ydr %3D O ry C-r O (C-a) = 1 %3D Oy -2-C

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Q: dy (16) 2xy = x² + 2y² dx

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Q: 1 By using completing the square , dx can be rewritten as /x²-4x – 7 1 VTr- 2)²– 3 1 =dx V(r- 2)? +3…

A: We need to write the following integral by completing the square   ∫1x2-4x-7dx

Q: Evaluate " " So s L dz dx dy rvZ c3y (8-x²-y² Jx²+3y²

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Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

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Q: (b) y = u4 and u = 9x2 – x + 7 dy du 4u³ ,3 du 18x – 1 dx dy dx &x(9x² – x + 7)³ × II

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Q: 2x If y= e, then %3D dx² a. 2x O b. 6e²x 2x 4e²* Od. 2e²*

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Q: d3y/dx3 -dy/dx=5sinx+10cosx+120e3x Diferansiyel denklemini çözünüz

A: Find complementary function and particular solution for the given differential equation

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: The given differential equation is 3x-2y+1dx-x-2y-3dy=0.

Q: Solve the Bernoulli DE dx - 2xy dy = 6x3y2e-2y^2 dy

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Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: - 4) (dªb' db\10 + 7 dp4 dp, + b7 – b5 = p d²y + 2b dx2 3 – 5) (dy +y = 0 \dx) d²y dy + dx² ' dx 6)…

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Q: Find if-10x – 6y = -6. dx2 Provide your answer below: %3D dx

A: We Have to find second order derivative

Q: Evaluate 2x+4 1. fx e**dx 2. SInx dx 3. J x2-2x 4.(a) (e* + 1)2 dx, (b) Sx³e2x dx.

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Q: In Jx2/25+ x² dx , we let x= 5sine. A True B False

A: Note Since you have asked multiple question As per our policy, we will solve the first question for…

Q: (1+ ye* + xye")dx + (re" +2)dy = 0 %3D

A: We will first show it is an exact differential equation

Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: Transforming A B C D dx using miscellaneous substitution will yield to secx + 1 2-2z² -dz 1+z² z²+z…

A: Here, the given integral is: I=∫dxsec…

Q: If the substitution m = 2x - y was applied to the DE: (2x – y +1) dy + e2-dx = 0, the resulting DE…

A: Solved below

Q: 2x-x ca ch(y) 3 dy dx = 3 dx dy, then If (A)5, 0 2a+g(1)+2h(0)=

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Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

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Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -…

A: NOTE: Refresh your page if you can't see any equations. . take derivative ...............option…

Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: 1/2 yee? +4 dy +17y=0 dx2 when Pove then ydy that Sinzx, %3D0 dx

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Q: 1 By using completing the square, dx can be rewritten as Vx-4x-7 1 OA. V(r-2)2-3 1 dx Vr-2)2-11 OB.…

A: We have to rewrite the given integral using completing the square method

Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

Q: Find an expression for dy/dx. y = u? and u = 3x - 1 18x 18x - 6 0 9x -3 O 6x - 3

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Q: Solve the diferential eguation with discasfssic Of soaL (4xy-y2) dx +(2x? - 2 xy + 2y?) dy=o

A: Given the differential equation is 4xy-y2dx+2x2-2xy+2y2dy=0 This is form exact differential equation…

Q: If feF - dr = Sc(4x + 4y²) dx + (x²y) dy, what is.

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Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: 5) у%3 е" dy 3x? = e^ · 6x dx А) бх dy B) dx - 6х = 6xe° + 3x2 dy C) dx ,3x? e 6x -1+ 3x? бхе dy D)…

A: apply chain rule of differentiation

Q: T sec"(evE + 1) dx Vxe-Vx

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Q: Evaluate , Sd-2, r2(1-z) dy dx dz

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Q: 4 dx L 11. 1 + (2x + 1)2

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: Find formulas for dy and Ay if y = 8x – 4. | dy Ay =

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Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: y" -2y'-3y= 4e* +5, 54 d³y d²y 9. 3x %3| 3 10. . = 3e* +4x? dx? Soluc

A: In the question it is asked to solve the differential equation  y''-2y'-3y=4e3x+5…

Q: 2. Find in terms of Jo and J,: x²½(x)dx

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Q: (уe*у — 2у3)dx + (хе*У — 6ху? — 2у)dy %3D0 -

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Q: dy 16x 3 If x° + 3 + y° = 8 then show that dx? %3D y5

A: Given: x3 +y3 = 8 To show: d2ydx2 = -16xy5

Q: 11. (D² + D – 2)y = 2x – 40cos (2x) 12. (D? + D)y = -cosx

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Q: Az + 2xy²)dx + (cos y + 2x²y)dy = 0

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Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: Find dy/dx in terms of x and y if ax^2-by^5=c^2. Assume that a,b, and c are all constants.

A: Given equation is-  ax^2- by^5= c^2

Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…

Q: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

A: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?