5 3t2 (t3 + 4)°dt

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

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Q: ex dx /1-ex

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Which constant c would best be described as a constant of integration? c +1 Secx=a

A: The indefinite integral always results a constant of integration.

Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tant - "/2<t <"/2

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Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: d) fe'cos( 41)

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Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: z is jointly proportional to x3 and y3. If z=490 when x=8 and y=4, find z when x=6 and y=5. (Round…

A: z is jointly proportional to x3 and y3. So,   z  ∝  x3y3 z = kx3y3

Q: Integrate the following equation by using substitution method: J16x'cosx'dx

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Q: The specific gravity of a substance is given by G = DS/DW, where DS is the density of thesubstance…

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Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

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Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

Q: Assume that the average molecular velocity v of a gas in a particular container is given by v(T) =…

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Q: 4. (ху + 1)dх +x?dy 3D 0

A: The differential equation is given as (xy+1) dx+x2 dy=0. We need to solve the equation by…

Q: У(x? — у? + 1)ӑх -x(x? — у? - 1)dy %3D0

A: The given equation is yx2-y2+1dx-xx2-y2-1dy=0 Compare with Mdx+Ndy=0 to get: M=yx2-y2+1 and…

Q: The velocity function (in meters per second) for a particle moving along a line is given by…

A: We have given

Q: Given x = 36t + 3 and y = 144t² + 119 dx (i) dt dy (ii) dt (iii: (write the dx simplified answer)

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Q: Find the antiderivative of the given derivative. ds = 9t(2t? - 7)3 dt S =

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Q: Solve PV = nRT for T. nPV AT RI PV B nR CT=PV - nR DT=NPVR

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Q: cos a eT dx ¤ dx Csc x

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Q: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: By using substitution and integration by parts, find S xe2x dx. (2х-1)2

A: Special Integral (Exponential Integral) : ∫exxdx = Ei(x)

Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: -4x xe dx

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Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: У(2ху+ 1)dx — хӑу %3D 0

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Q: Solve the given IVP. x²° = y² + xy y(1) = 1 %3D dx Hint: Use substitution to change the equation to…

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Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: Solve the following DE V2+ x? dy =-x 1+y dx y = Ce{2+x²) _ 1 а. y= Ceor") _1 y = Ce{2+x?)

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Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: (x - 3y)dr – rdy =0

A: The given first order differential equation is Simplify the given equation

Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: J-in3 ex+4 4. (T/4 3csc22x dx Ja/8

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Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. Bx

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Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: For what value of c does dt = 1? %3D e0.2t Need Help? Read It

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Q: Q By direct Par tial integration, Solue the following PPE + dy dxdy 2(メ1b)-メ+ そ(29)334

A: Partial integration is a process of integration used to integrate a multivariable function. When a…

Q: Suppose y' is proportional to y and y(0) = 10 and y(1) = 20. For what value of t does y(t) = 25?…

A: Differential equation variable separable

Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: ds/dt+s/t=cost+sint/t solve using linear equation diff eq

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Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

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Q: (3) ds V3s2 + 1 (4) / sec?(3/t) dt VE

A: Note: As per companys guidelines we are supposed to solve only 1 question ∫s33s2+1dsSubstitute…

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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Q: 40 m/s a. -1/T

A: We integrate acceleration to find velocity and to find position we integrate the velocity

Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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Q: The amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycle is…

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