Choose the letter(s) of the correct answer. Choose E if none of the choices corresponds to the correct answer. Given f (x) = x³n+1, how do you solve for the antiderivative of f (x + n) if the variable of integration is x? A. Substitute x with n and continue to integrate with the appropriate integration procedure. B. Treat n as a variable and proceed with proper integration techniques. C. Assumen is a constant and integrate f (x) using proper integration techniques. D. Do A and C procedures.

Q: S a³ (x² + a²) 3 dx

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A: Choose the correct option:

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Q: Decide the following integration formula is correct. O yes O no S x² dx = x5 + c

A: Check Integral is correct

Q: Draw two contour lines of the function showing level curves for k = 0 and k = 1

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Q: Exercises 4 I. Obtain an integrating factor for the following equations- (x – y²)dx + 2xy dy = o dr…

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Q: dR D₂CA0 1 dt OcPc R-R²/Ro) t = Step 9: Integrating with limits R = Ro at t = 0, the time necessary…

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Q: The differential operator D4 annihilates the functions

A: we have to find the functions which are annihilated by the differential operator D4…

Q: Identify the equation as separable, linear, exact, or having an integrating factor that is a…

A: Given,         2x+2ydx+2x-2ydy=0.

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.