evaluate (b) By repeated applications of the reduction formulae dx (HINT: First use integration by direct substitution where u = Va)

Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: 3.2.10 Example: By method of contour integration, prove that dx = t /4 (1+ x }

A:

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx |1– y²

A: Solution is given below:

Q: Inx dx, 2. Integrate (1) using the substitution u = In x (ii) using integration by parts.

A: Integration by substitutions and by parts

Q: t2 +t dt 2

A: ∫t2+t2 dt

Q: By finding an appropiate integration factor, solve dy/dx = -(((2x^2) + (y^2) + x) / xy).

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Reverse the order of the integration dy dx sin x

A: W need to find integral.

Q: y(x* – y²)dx + x(x* + y²)dy = 0

A: Let us consider the differential equation,  Where M and N are the function of  x and y. If the…

Q: . Evaluate using integration by parts 8. (5x - 3) sin(12x)dx = TC 6.

A:

Q: 3). S eax cos(mx) dx

A:

Q: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: What is the integrating factor of xy' + 6y = 3xy3?

A:

Q: Find the value of the integrations: a. [(x +1)dx b. L,(x³ + 2x + 5) dx c. ,16 – x² dx d. (2x* + 5x2…

A: To find the given integrals we shall use the following rule of integration…

Q: find the integrating factor (x+1)dy - (2y+2x+1)dx = 0

A:

Q: 2. y(2x – y + 1)dx – x(3x – 4y + 3)dy = 0

A:

Q: dy dx

A:

Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

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

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: What is the integrating factor of the linear DE of order one ydx + (3x - 2y +5) dy=0,

A:

Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: Determine the Integrating factor of the DE: y (x³e*y y) dx + x (y + x³e*y) dy 3 1

A:

Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation.

Q: Obtain the solution using Integrating Factors Found by Formulas. 2(2y2 + 5xy- 2y + 4)dx + x(2x +…

A: We can solve this using integrating factor

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

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

A:

Q: An integrating factor which convert the D. E. y p(y)dx – (Qly) – p)x)dy = 0, into exact is given by

A:

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

A:

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

A:

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

A:

Q: solve: d/dx on the intergral 2x to x3 with an integrand of t2 et^5 dt

A: Given integral is

Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - х)dy %3D 0

A:

Q: 2. Use the 4th-order Runge-Kutta method to integrate dx = t - sinx dt given x(0) = 1, using a step…

A:

Q: Use the method discussed under "Integrating Factor found by Inspection". (x² + y² + 1)dx + x(x –…

A:

Q: Q₂) Compute Z² dz along the straight line from (0) to (4 + 4i), then verify your result by using…

A:

Q: 1. y(4x + y)dx – 2(x² – y)dy = 0

A: We will first convert the equation to exact and then solve

Q: Determine the integrating factor in the equation y(8x – 9y)dx + 2x(x – 3y)dy = 0 using the method of…

A: The given differential equation is  y8x-9ydx+2xx-3ydy=0 is of the form y f1x,y dx+x f2x,y dy=0. If…

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

A:

Q: (tiy t 3y" -x)dn + x (x+ Jdy = 0 2

A: Given differential equation is  4xy+3y2-xdx+xx+2ydy=0 find the general solution of the given DE

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

A:

Q: (2у — Зx)dx + xdy 3D 0

A:

Q: 14) Change the order of integration to dx dy dz 4 4-x 4-x- y SS dz dy dx 0 0

A:

Q: What is the integrating factor of (ry + y) dr + (r + 2y-1) dy %3D

A: Given xy+y2dx+(x+2y-1)dy=0Compare above differential equation with…

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

A:

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

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Q: Determine the constant of integration of f (x) = S (15z* – 3x²) dæ if ƒ (1) = 4?

A:

Q: What is the integrating factor of 6y²dx – x (2a + y) dy Oy-2 Oy? Oy

A: