The integral factor transforms the equation from not exact equation to an exact equation

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: Consider a differential equation y' = xy + xe¯´.

A: We have y'=xy+xe−x2

Q: S2 cos (w - Sec W tan (w) dw

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Q: i(t) = (A₂ + A₁t)e-at

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Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: What is the standard form of this equation

A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the lefr-right…

Q: Edisk = 1 4περ 2πστ Ꭱ r (r² + 22) 3/2 dr.

A: Edisk=14π∈02πσz∫0Rrr2+z232dr

Q: Use the "mixed partials" check to see if the following differential equation is exact. If it is…

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Q: lim X→ 4x-3 lim x²+12x+27 ) lim x→-3 x+3 2x²-7x+5

A: (a)  given limit is :-limx→3412x2+11x-154x-3      00 form  since we know thaT  if…

Q: 14. Verify the following integral sin no sine de A COS nn cos 0 – cos n Hint: See von Mises

A: The following question is a proof type question. Simplify the left-hand side part of the equals to…

Q: yoー1lby= e Solve the equation of pormnetersi? by the method of chenge

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Q: ( 군-1) dz ; Circle: Iz| = ½ 근(2-2y(z-3)

A: Given integral is ∮Cz−1zz−22z−3dz and circle z=52 We have to evaluate the given integral in the…

Q: For this problem why did we integrated from -90degre to 90degree, instead of integrating from…

A: To discuss the suggested solution for the length of the given curve

Q: Complete the square of the following quadratic expression -3x² - 24x - 43 y=-3 (x+4)² +5 y = 3 (x +…

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Q: Use the equation (x-1)^2+(y+3)^2=12 find the radius and show steps

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Q: | 2. Find the slope and equation of the tangent line to the curve TT f(x) = sin sin (x) cos(x) at x…

A: To find the slope and equation of the tangent line to the curve. fx=sinsinx cosx at x=π3

Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

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Q: Find the removable discontinuity of the equation f(x)=x^2-4x+3over x^2-9. There is also a picture of…

A: We have to find removable discontinuity

Q: I. Obtain the general solution: d³y 1. dx + 22+ 5y = 0

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Q: solve the equation by the method of change of parameters

A: The differential equation is y4-16y=ex The characteristic equation from the homogenous equation is…

Q: 1) (xy +y-x)dx + x(xy+ 1)0

A: A differential equation of the form M dx+N dy=0 It is said to be an exact differential equation if…

Q: Find the roots of auxiliary equation

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Q: 8y" +45y" 128y' - 720y = 5e-5t y(0) = 0 y' (0) = 0 y" (0) = 1 into an algebraic equation by taking…

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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.