Given So(t) = for 00, and = 2-&0 , calculate eo 5-16 %3D %3D

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: 3 d : 4me-m2 dy. dm

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Q: C. e3x dx

A: Given- ∫01e3xdx To Find- The value of the above definite integral.

Q: Q4 Find y'of y = ln ? 1+e0

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Q: Calculate MN and TN for the value of N indicated.

A: Given ∫12lnxdx, N=5

Q: Solve the following DE using variation of parameters (D – 1) y = e" + 1 -

A: Let's find.

Q: Solve for the following problems using substitution suggested by the equation. (3siny – 5x)dx +…

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Q: y = asin(k(x – E %3D

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Q: y to solve the following linear differe ] dy

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Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: Solve the following DE x y" – 4y' = x e"

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Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: Solve the linear D.E dy + y=x dx Paragraph

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Q: Q1: Find dy/dx for the following functions (solve four only):-

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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: Find the value of E 2) Evaluate y dx 3) x e

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Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: O g(x) = (3t+ 2) dl t %3D

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Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: Solve for the DE equation associated by the given function: а. у %3D Ае2х + Bе* + C.

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Q: 1. (x + y) dx + (:

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Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

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Q: XzP -te; xlol = dt?

A: it is given that     d2xdt2=tet         (1)where x(0)=x'(0)=0integrate both side to equation (1)…

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

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Q: = For a given table 2 5 8 11 13 18 y 4 8 d' (a) Find the value of - dx at x=2 and x= 8 using forward…

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Q: For y=f(x)=3x^3 , x=3 , and (triangle)x = 0.03 find dy (two decimal places)

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Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: 2 /x_ e-x/4 dx, T20

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Q: Solve the following D-E 3) +y = y3 dx 4) dx + xdy = x?e dy dx dy

A: All given equations are first order Bernoulli Ordinary Differential Equation (ODE). which we will…

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: If xy + ey = e, find the value of y′′ at the point where x = 0.

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Q: d {e® + e=®} dx Find

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Q: Q.3 Solve (e* + 1)ydy = (y + 1)e*dx.

A: This is separable differential equation

Q: d'y If x=a (t-sint),y=a(1+cost) Find dx?

A: Given    x = a(t - sint),  y = a(1+cost) Firstly dy/dt and dx/dt will be calculated

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: Then E(((X + 2Y)'D is equal to:

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Q: For -e y=ln 2t find y ' when x=e-

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Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: + k?y = 0 dx2 What type of D.E. is this?

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

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Q: e. (3х — 2у?)dx —- 2хydy %3D 0

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Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: Solve the given dy=x√ e+~

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Q: 8. (y + 1) dx + (4x – y) dy = 0

A: Given Equation is y+1dx + 4x-ydy = 0

Q: %3D My 4.e A e). Ae-/

A: According to the given information it is required to solve the differential equation:

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: 6. (2ху + x) dx + (x2 + у) dy 3 0

A: the given differential equation is: 2xy+xdx+x2+ydy=0 we have to solve the given differential…