Q3. Choose the correct answer 1- 1- Inx? +k Isthe result of integrating the function? B. c D.1- E. None of these. 2- tan x dr Can be cakulated if n: An-/4 B. n/2 C-n/2. 3. The integration of xe with respect to xis: A e. B. 2xe. c

Q: 6. Solve the following DE's using Integrating Factor by Inspection or by applying Table 1. y(y? +…

A: (1) The given differential equation is: yy2+1dx+xy2-1dy=0After simplification,ydx-xdy+y3dx+xy2dy=0…

Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

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Q: Q3) Reversing the order of integration f 2 y? sinxy dy dx

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Q: Q3/A- Using Trapezoidal rule ,choose the correct integration value of S sin(2x) with width=15?…

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Q: 3 t/8 + 3t dt using the substitution, u = 8 +3t. 56 3 Suppose we want to evaluate the definite…

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Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

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Q: 1 (a) Evaluate the integration of the following functions: x 2 +2 (i) (ii) fx*e*. dx

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Q: b) 1+x dx Approximate the integral both directly and by trapezoidal method for intervals 2 and 4.

A:

Q: 4. The following integration can be solved by using the technique, where we have u = and du = to get…

A: hello greetings from bartelby.i am here to help you.i have uploaded an image of the solution hope it…

Q: 03/A- Using Trapezoidal rule ,choose the correct integration value of sin(2x) with width 15? 15.0053…

A: Here the given function is f(x) = sin(2x) we have to find integration by trapezoidal rule.

Q: 8. Determine the value of n and h required to approximate r2 1 -dx x + 4 to within 10-3 and compute…

A: The value of h and n

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: Solve the following DE's using Integrating Factor by Inspection or by applying Table 1. y(y² + 1)dx…

A: (1) The given differential equation is: y(y2+1)dx+x(y2-1)dy=0ydx-xdy+y3dx+xy2dy=0Divide both sides…

Q: 5. The following integration can be solved by using the Substitution technique, where we have u = In…

A: We have to solve

Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: find out wheher the function s the selution o the differential gurticn 300 2e Oy= जू - 194 + 243D 0…

A: This question is related to differentiable equation.

Q: Q2: Find the value of the following integration, using : 1- Two-points Gaussian integration method.…

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Q: Simplify (if necessary) then 2 Compute: y" +Éy' for a2 y(z) = [ [6(cosh2x – sinh2x)] d (36)cos2n x…

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Q: (d) Using -[ sin() t, S(r) = %3D and performing integration by parts, write S(r) in the form S(x) =…

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Q: 10. The sides of the rectangle at right increase in such a way that the instant when x = 4 and y =…

A: We need to find the value of dxdt, given that dzdt=1,dxdt=3dydt,x=4,y=3

Q: Q1: Find the general solution for the following first order D.Es? (Answer two only) a) sinx+cosh…

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Q: Q 4. a) Use integration by parts to evaluate Sz²cos zdz. b) Evaluate f xlog(x + 3)dx.

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Q: Q:: Find integration for the following functions: - (answer three only) x?dx a- f 3ln?x_dx b- S…

A: We have to find integration

Q: In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

Q: 12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: 1- Find dB/dx for the follow ing functi'on a)- xy = Cot (xy) b- y Sim(hs =-メy %3D c)- y?cos () 2x+2y…

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Q: Evaluate the integral dx dy by reversing the order of integration.

A: We need evaluate integral using reversing the order of integration∫06∫y23ex2dx dy

Q: One of the values below represents the product of the integration for the is Nte tha o (4x² +…

A: To find- One of the values below represents the product of the integration ∫D4x2 + 17xy + 4y2 dA.…

Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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Q: 1. Evaluate the following using integration by parts. Show all necessary solutions. ) (² – 2) cos a…

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Q: Use Taylor's formula at the origin to get a cubic approximation of the function: f(x,y) = ln(2x + y…

A: Given function f(x,y)=ln(2x+y+1) and a,b=0,0 Taylor's expansion  at origina,b=0,0 to get a cubic…

Q: Solve the following using Integrating Factor by Inspection. Except when the exercise indicates…

A: (a) The given differential equation is: y(2xy+1)dx-xdy=0 Now rearrange terms as below:…

Q: In solving the antiderivative of f(x)= 3sin(x) + 4cos(x) +5 by miscellaneous substitution, the…

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Q: Assume that z and y are both differentiable functions of t and are related by the equation y = cos…

A: Given : f(x) =y= cos(2x)  To find : dy/dt Here, implicit differentiation has to be applied

Q: If a=3, b=5, e=2, d=5, the shaded area ca X2 dx dy The values of the integration limits are y

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: Given, f'x,y=dydx=2+3xyy0=1 Euler's method is given by, yn=yn-1+hfxn-1,yn-1

Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

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Q: Given i = V-1 , what will be the evaluation of • t/2 COS x + i sin x dx ? cos x - isin x the…

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Q: (a) Use integration by parts to evaluate T/4 | 0 sin(20) dð . (b) Use the substitution u = 1+ x to…

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Q: Perform the integration: ... ex+2 A 1/In(e+2) + C B None of the choices are correct. In(e + 2) + C D…

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Q: B) Chose the correct answer: The value of integral of S tan*(6y) sec²(6y) dy: a) – 1 tan5(6y) + c 30…

A: I = ∫ tan4(6y) sec2(6y) dyI = ∫[tan(6y)]4 sec2(6y) dy            ..............................(1)…

Q: 2. Show whether the ODE is exact and find and use an integrating factor if needed. (x² + y²)dx - 2xy…

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Q: Which of the following is the best integration technique to use for x e* dx? a. The integration by…

A: When two different functions are given, in which one function seems to be diminished by…

Q: In order to evaluate the following integral :-√2+√7 COS-¹ (v cos-¹(√x) dx we first use the…

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Q: Use Green function to Solve the following IVP 44't3y= flx) i yco) = 0 ,y(6) = 1 where X <o f (a) =…

A: Consider the given information. 4y''+3y=fx And, fx=0                   x&lt;0cosx        0≤x≤4πex…

Q: 4. The following integration can be solved by using the technique, where we have u = and du = to get…

A: If you like the solution then please give it a thumbs up.... The Answer is:   1 . substitution…

Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

A: To evaluate the value of double integral.

Q: = "+1 + C. 2. The power rule for integrals is x" dx a. Evaluate f da = fx2dx. n+1* 1 b. What goes…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.