Test for exactness (2ysinxcosx - y + 2y?e*y )dx = (x - sin?x - 4xyey")dy %3D solve exact de, continuation of exact de and final answer

Q: While integrating[(x² – 3 ) Inx dx by integration by parts we get the value of v = a. 1 O b. x2 - 3…

A: Solution: Given ∫x2-3lnx dx

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

A:

Q: Solve for the value of dy if y = 3x +2x2 - 3x + 5 and x changes from 2 to 2.44 dy Note! Use…

A: This question is based on Derivative of function.

Q: Using tabular integration, the integral ft"(-2x² + 4x) cos(2x) dx equals: 3Tt -1+ 3T 2 2 2 the above…

A:

Q: dy 8xy dx and its integral setup 8x dx Find the General Solution by Integrating both sides, and then…

A:

Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: (c) (1) Show that e +2)e +c, where c is a constant of integration. 5 "dx

A: We have to find the integration of the equation  ∫e(i-2)xdx

Q: (c) (i) Show that e"dx = - (+2)k" +c, where c is a constant of integration. (ii) Using your answer…

A: The conjugate of a complex number is a complex number with real parts identical and their imaginary…

Q: (2xy +x? +x*) dx – (1+x?) dy = 0. |

A:

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: Qy integration value Equal? @ (√x-1)² + ( 2 Q 2 (√x-11³ 3 @ → (√x - 1)³ + ( 3 Not of the above + C S…

A: To solve the given integral.

Q: 26. Solve using integration by parts f x*e-3* dx. Show your solution

A:

Q: Зx? — 2х — 4 A dx using В C | Evaluate the integral x3 – x2 – 4x +4 - 1 x+2 х — - 2 3x2 – 2x – 4 dx…

A:

Q: Use Euler’s method with the specified step size to estimate the value of the solution at the given…

A:

Q: Question Using integration by parts, the integral f(9x 3)e*dx is equal to:

A: Given: ∫(9x-3)e3xdx Integration by parts: ∫uv dx=u∫v dx-∫dudx∫v dxdx Where, v and u functions of x

Q: dx 4-t x(0) = 1, solve for x(0.5) when h = 0.05 %3D dt t+x

A: As per the question we have to solve the following first order differential equation : dy/dx =…

Q: Using n= 6 approximate the value of 7 1 dx i x3 +1 using Simpson's rule, and Display the answer to…

A:

Q: Solve the integral equation y(t) cos t + y(x) cos(t – x)dx %3D

A: The given integral equation yt=cost+∫0tyxcost-xdx can be written as  yt=cost+ytcost Now apply the…

Q: 5. Solve using integration by parts f x² Vx – 1 dx. Show your solution.

A:

Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Test for exactness and determine the particular solution of: (yexy – 2y³)dx + (xe*y – 6xy² – 2y)dy =…

A:

Q: S (sin'x-sinx-x' sin* x+x²sin x) dx ? :-x° sin* x + x² sin x) dx ? What is the value of the…

A:

Q: Using RK method of fourth order to find y at x=0.3 given dy 2xy + e* x² + xe* 'Y(1) = 0,h = 0.3, dx

A:

Q: II. Perform the integration. sinh (e-") dx e² cosh(e-¤) 4.

A:

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: *x³ + 1 In solving for the -dx, what technique is suited to solve for its integral? x²+1 A…

A: The solution is given below

Q: The dimensions x and y of an object are related to its volume V by the formula V = 11x²y. dV a. How…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx e8x

A: 3∫e8x dx Using the formula ∫eax dx = eaxa+C

Q: Dse Runge - kutta method to Solve the equation: dly x +y %3D dx at x =0.8 given that using h= o.4 y…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 − 3   dy=?

A: The given expression y=9x2-3 Differentiate both sides with respect to x dydx=d9x2-3dx     =9dx2dx-0…

Q: 1. Using Euler's method, find an appropriate value of y corresponding to x=1.4, given dy = xy and…

A:

Q: Number 13

A: The given definite integral is

Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

A:

Q: Test the equation for exactness and if separable: (2xy + 2x) dx = y dy O Separable and not exact…

A: For the solution follow the next step.

Q: Using Integration Techniques to solve from the explicit solution. (x)(dY/dx) + Y = (x)(sin(x))

A: Linear differential equation of the form y'+p(x)y =q(x) Integrating factor is given as: I.F.=e∫p dx…

Q: Integrating Factor by Formula b) y² cos xdx + (4 + 5ysinx)dy = 0

A:

Q: 5.Integrating factor by Formula 2 (2y? + 5xy – 2y + 4) dx + x (2x + 2y – 1) dy = 0

A:

Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

A:

Q: While integrating J Inx dx by integration by parts we get the value of v = а. 1 O b. Inx O c. 0 O d.…

A: The given integral is ∫lnxdx. The rule for integration by parts is given by ∫udv=uv-∫vdu. We have to…

Q: dx + (x — у + 4)?dy %3D 0 ||

A:

Q: Use integration by parts to derive a reduction formula for x"e dx. Use the result from part 1 to…

A:

Q: Solve using separation of variables xy^2 dx + e^x dy = 0; when x -> infinite, y -> 1/2.

A:

Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

A:

Q: Use integration by parts to derive a reduction formula for x"e- dx. Jse the result from part 1 to…

A:

Q: 9. Using integration by parts to establist the reduction formula for S(Inx)" dx dx 10. Solve this…

A: solution:-(9) ∫(ln x)n dx integration by part∫uv dx =u∫v dx-∫dudx ∫v dxdxapplying this we get;∫(ln…

Q: dx by Q3) Evaluate the integral o togsinx trapezoidal method (use h=1)

A: Given: I=∫03xlogsinxdxby using Trapezoidal Method (h=1)

Q: sin x e dx Co x

A:

Q: S cosh x · sinh x dx = Select one: cosh*x а. 4 cosh* x + c 4 b. sinh x С. O d. - sinh + c x

A: Explanation of the solution is given below....