sec2 x dx sec2 x – 1 f.

Q: 2 y

A: According our guidelines i solve only first question.For second solution please resubmit again…

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: (test for exactness) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xyev" )dy %3D

A: Given DE is 2ysinxcosx-y+2y2exy2dx=x-sin2x-4xyexy2dy Test the exactness of the given DE.

Q: 5х-1 dx that satisfies the condition F(1) =1. J 2(x-2) Find the Antiderivative F(x) = x²(x – 2)

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Q: За3 + 3x? + +1 dx (За2 + 1)

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Q: sec 2(t)- 9t2 Justify your response. b. Find the antiderivative of f(t) = s

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Q: Double integral of x^3 cos(x^2y) dxdy ? for x=1/y, x=1/2 & 1<y<2

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Q: 1 f =- хуz and evaluate it at x 1, y 1 Find dxdy dz2) and z = 1

A: Solution is given as below:

Q: dx using miscellaneous substitution will yield to secx + 1 nsforming - S 1+2 / dz √²-22² dz 1+z²…

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 +…

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Q: Check the DE if it is exact or not then solve it. (If it is not exact use the method by using…

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Q: reducible to exact method 1- (4xy + 3y2 –x)dx + x (x + 2y)dy = 0 %3D

A: Find your answer below

Q: PCx g) - Sin (zy)- Cosx'+x*y? %3D find d'f df dye' de dy

A: Given function is  f(x,y) = sin(x,y) - cosx^2 + x^2y^2

Q: Find the most general antiderivative. 3 4.9 #18 g(v) = 2 cos v V1-v2

A: We will solve the following.

Q: Find the most general antiderivative. S(-8 sec² x) dx -8 cot x + C 8 cot x + C tan x + C -8 tan x +…

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Q: dy -y2+1,ysCJse Cantial cokditian.

A:

Q: 5) Evaluate using the method of u-substitution. Show antiderivatives and work. a) [5pts] L dx 2n b)…

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Q: 5. (x2 + y² + 1)dx + x(x – 2y)dy = 0, x = 2,y = 3 %3D

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Q: Test for exactness (2ysinxcosx - y + 2y?ey )dx = (x - sin?x - 4xye*y )dy %3D solve exact de,…

A: First we have to check exactness then we solve the differential equation.

Q: 4. 2a y' = y (y² + 3x?)

A: For the solution follow the next steps.

Q: In(y²) dy 3y

A: Given- To do- Evaluate the integral by substitution method.

Q: 2х + 3 d |(x² + 3x – 7)7 V

A: Given            ∫2x+3(x2+3x-7)7dx

Q: 1 I = dx V(a-a)(x-a-2b)

A: Given data: The given integral is I=∫1a-xx-a-2bdx. The given integral can be written as,…

Q: Integrate by substitution: 2e dx 5e2a+1

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Q: otain the solution using Integrating Factors y(y+2x-2)dx - 2(x +y)dy = 0 %3D

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Q: 1. (12 –2ry+6x)cdx- (r² -2xy+ 2)dv= 0 |

A: First check exactness then solve

Q: 8y2 + 3 dy /6 – 2y

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Q: In the given nequation as follows , find the indefinite integral using each method. see thee quation…

A: "Since you have posted question with multiple sub-parts. We will solve first three sub-parts for…

Q: x* )!' dx + ی 3 4 11

A:

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos…

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Q: 1+2 sec(- T sin(, r) ta il

A:

Q: 2. Find the general antiderivative. If the substitution method is used, state first u, du and…

A: To find the antiderivative or integration of the given terms

Q: fz? +z+1 I = dz co

A:

Q: 2x 26. Evaluate / sec (= tan 5 dx and determine its particular antiderivative whose y-intercept is…

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Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: Amour 1 y (2xy +1)dx +x (1+2xy –x'y)dy =0 It represents the integration factor of the equation

A: If the equation fx,yy dx + g(x,y)x dy =0 is not exact i.e,∂M∂y≠∂N∂x ,then the integrating factor of…

Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

Q: (12x y + 10x'y)dx + (9x'y- bx y )dy 0 becomes exact by integrating factor H(x, y) = xy. Find the…

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Q: Integrate by substitution. Check your answer by differentiation. dy |y+8

A: Here we have to integrate the given integral.

Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: Check the DE if it is exact or not then solve it. (If it is not exact use the method by using…

A:

Q: (9x² + y – 1) dx – (4y – x) dy = 0, y(1) = 0 - ben valor nuulo

A: Ffddhfjc

Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

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Q: linear integration where product C:y = 2x, 8i Cr²+y)dx + (Zxy +3)dy

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming A B © ² с -dz 1+z² © S²+ /…

A: Please see the answer below.

Q: 3y(x2 - 1)dx+(x +8y–3x)dy= 0 when x= 0, y=1 |

A: Given: 3y(x2 −1)dx+(x3 +8y−3x)dy= 0 when x= 0, y=1

Q: olve 2xy dx-(1-x)dy=0 using two different DE techniques.

A: