B. Integrating Factor Found by Inspection 1. x*y'=-x'y-csc(xy) 3

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

A:

Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.

A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration

Q: Find the Differential of a Composite Function Original function                        y = f(x) =…

A: Applying chain rule we get:

Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: 3) f(x) = (x + 4) Standard form: Y-int:

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: evaluate using Integration by Parts.

A:

Q: 19) Derive a one point integration formula to estimate the integral f (x) dx.

A:

Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: 3 Z Eii %3D From the properties of characteristic equation of strain Zɛ, -Mw -Mw

A:

Q: Q8 Integrate by parts: x sin x dx

A: .

Q: Find the total differential dz ZzxeX+y

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

Q: 1 Integrate | tanhx dx

A:

Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

A:

Q: The exact differential of excos y

A:

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = %3D 0 and x = b² *…

A:

Q: 24) Using Numerical Integration to estimate area between curve (y=2-x²) and line (y=-x), with n=3

A: We have y=2-x2, y=-x then intersection point is -x=2-x2 ⇒x2-x-2=0 ⇒ x2-2x+x-2=0 ⇒ (x-2)(x+1)=0⇒x=-1,…

Q: 10 Describe a first step in integrating /2 dx. - 4x + 5

A: Given: ∫10x2-4x+5dx Step 1: Taking the constant term outside

Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = 0 and x = b2

A: Let's find.

Q: y(x* - y²)dx + x(x* +y²)¢y = 0

A: Please see the solution below

Q: Find /- tan- x -dx using integration by parts. x2 ITM

A:

Q: 7. Find dx2 by implicit differentiation of xy3 = 1+ y* 1+sec y

A:

Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

A:

Q: 8. dx +x2 Integrate:

A:

Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

A:

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4

Q: 2tds + s(2 + s²t)dt = 0

A:

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

A:

Q: 2. Integrate the following function (a) analytically 3. I- fxe2* dx and numerically using n = 4 (b)…

A: First determine the integral using integration formula's. Then use the formula of Trapezoidal and…

Q: 4 Use Gaussian Integration (4-point form) to approximate x2sin(x)dx

A: Using 4-point formula the given integration is solved.

Q: 8. Find ihe point where the normal to y = x + Vx at (4,6) crosses the y-axis.

A: Given :- Equation of line that is y= x+x              The point from which we need to find the…

Q: 12. Approximate So dx with adaptive quadrature, simpson's rule, and Romberg integration

A: Given data I=∫01exx13dx

Q: b) y = [ dx Integrate. 13 +5

A:

Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: Find the total differential. z = ex tan(y)

A:

Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: 4. Triple Integration Evaluate the equation below 1 - In y ex+y+z dx dy dz

A: Given: ∫01∫0z∫0ln yex+y+zdxdydz

Q: 6. Carefully interchange the order of integration to evaluate os(x/²) dx dy. COS -1

A: To evaluate: ∫-11∫y21cos(x3/2)dxdy by changing order of integration.

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: evaluate using Integration by Parts.

A:

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

A:

Q: Let y = 5(square root x) Find the change in y. Delta-y when x = 5 and delta-x = 0.1 Find the…

A: The given function is y=5x. We need to find ∆y when x=5 and ∆x=0.1. Also, to find dy when x=5 and…

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: (24) Evaluate the integral: / Va sin(1+x/²)dx. (25) Find the equation of the normal line to the…

A: Use equation of normal line

Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…

A: