| (3x (За? — sin x + 2) dx

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: 41 D(D² + 1)y = 3x? + 4 sin x – 2 cos'x

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

Q: • Tt X 2. sin? cos cOS dx 2 2

A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: I. Evaluate the following and show all necessary solutions. Enclose your final answer. dx (x2 + 1)3…

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Q: Solve the following D.E y tan X Cos X %3D

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Q: Solve the following by Substitution Method. (show complete solutions) a.) y(x tanx + ln y)dx + tanx…

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Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Q3/ show that the following equation is linear or Bernoulli ? and solve it y\ = (cos x – y)tanx

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Q: Solve the following equation and show that it is exact 3x (xy +2)dx + (x^3 - 2y)dy = 0

A: Given differential equation is  3x(xy+2)dx+(x3-2y)dy=0

Q: (c) Show that e* sin(x²)dx < e – 1.

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Q: T/2 S sin? x cos5 x dx

A: Topic = Integration

Q: [cos'x { v(1-x)}]" _dx 1+ sin (2xv(1-x®) TT answer

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Q: Test each of the following for exactness and solve the equation. (3x^2 − sin y)dx + x(x^2 − cos…

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Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: Solve the following using the method of solving other substitution methods dy 2. dx sin(x – y)

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Q: Solve the following D-E 1) y' + y = sinx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15. S Vx sin?x³/2 dx.

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Q: S 17x cos (In(x)) dx =? .3 COS A) 30 B) 20

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Q: Solve the following D.E dy sin x +2y= tan³| dx 2 1 Add file

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Q: solve for y in terms of t or x, as appropriate.

A: Solve for y in terms of x :     lny2-1-lny+1=lnsinx

Q: Evaluate the following and show all necessary solutions. Enclose your final answer. (x² + 1)dx | 5…

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Q: S2 2 sin?x cos5x dx =?

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Q: Find the general solution of the following equations? 1- x2 + sinx – y = 0 dx

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Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe") + (sin x+ x²e° + 2)y' = 0.

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Q: Which DE CAN'T be solved with method of undetermined coefficient? b(sin q) + c(cos q) ax+bx^2…

A: Method of undetermined coefficient.

Q: Q/ Solve the DEs: (cos x)y =yv-1) sin x.

A: This problem can be solved by seperation of variable

Q: b) Determine ? x sin x dx c) Evaluate f xlnx dx

A: We use integration by parts to evaluate the given integrals.

Q: Scos(ex).cos"x dx

A: ∫cos3x.cos2x dx=∫cos(5x)+ 3(cos(3x) + cos(x)) +cosx8dx= 18∫cos5x dx + 38∫cos3x dx + 12∫cosx dx=…

Q: Q/ solve the differentil-equation ty-f'sinx-x)+(3xy+2y.cosx)

A: We will solve the problem.

Q: Solve the following DE: a. (2x + 2y + 1)dx+ (x+ y-8) dy = 0 %3D

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Q: +6 cos(x³) A True B) False |dx=0

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Q: Q5) show that the following equation is exact and solve it. ylnx?dy +dx - = 1 xlny?dx +dy

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Q: dx =0 cos(x³) A) True False B

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Q: the Following DE y" Solve y-y-6y = 2 Sin X

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Q: If g (x) = sinx dx and =3, then g (0) is equal to A) 2 В -2 4 D

A: To find the solution.

Q: d’x 1. Verify that sin kt is a solution of the equation di? +k'x=0.

A: To verify that sin kt is a solution of the equation d2xdt2 + k2x = 0.

Q: Sz cos6 x sin? x dx 0.0053 0.035 0.0033

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Q: Show the solution (use applicable secondary formula): sin x dx V13-4sin?x -2 sin x dx V9+4cos²x…

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Q: Solve the following by indicating the steps and describe the process: sinx dx SCOS² 1.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q-6: Show that the following formula: cosm-1x sin x Im - 1 cosmx dx = cosm-2 x dx. And find S cossx…

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Q: Test for exactness and find the general solution. (2xy – sin x) dx + x²dy = 0

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Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

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Q: dx 3 sin x - 4 COS X

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Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…

Q: 4. Evaluate the following and give the exact value: m/2 (cosy sin(y + z) dz dx dy /6 Show your…

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Q: T/2 12 sin x dx

A: Given, ∫0π212sinx dx Find the value of this integral in the following.

Q: II. Evaluate the following and show all necessary solutions. Enclose your final answer. x dx 8. VA…

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Solve the following using the method of solving Bernoulli Equations. dy 1. dx +? = x²y?

A: Given:         dydx+yx=x2y2 This is of the form dydx+P(x)y=Q(x)yn…