8. If JM = x+ 17 and MK = 5x – 23, find JL. %3D J M 'K

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Q: 3) 2xydy = (x³ + y²) dx

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

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A: We  have to find the general solution of the given differential equation.

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Q: The IVP: y =t/y+ sin t; 1sts2, y(1)= 0, has a unique solution Select one: True False

A: Given, y'=ty+sint, y1=0, 1≤t≤2

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Q: 3X An integrating factor for the DE dy + ydx = e³*dx 5 O ey O y O ex O x?

A: For a differential equation of the form, , the integrating factor is defined by .

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

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Q: Consider theD. E. M(x, y)dx + N(x, y)dy = 0 if M - N? = 24M, M,N, = 1 and M? = 2 - N? then an…

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A: Since you have asked multiple problems, I answered first one. If you need solution of other problem,…

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Q: 6) 3x²y dx + (x² + y²) dy = 0 3

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Q: Find the integrating factor for ty' + 2y = t5

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Q: If p(xy) =y is an integratingfactor of the the DE. (12+Sxy)dr + (6xy+ 3x2)dy = 0 Then, the values of…

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Q: 3) I Cos dydx Ins Iny 4) S S e** dxdy X 1 0

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Q: B. Use the given integrating factor to find the general solution of the following DI each) 1. (4x?y…

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Q: xdy + y dx 2 x²y³ dy = 0 x" yn

A: given differential equation x dy+y dx-2x2y3 dy=0⇒x-2x2y3dy+y dx=0 show that the D.E has an…

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Q: The integrating factor of the given DE are already given below. What is the value of “n” 3y2dx…

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Q: Solve for the particular solution of the following non-homogeneous DE. y''-2y'=ex

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.