Suppose f(x) = Vx – 3 and g(x) = x² + 5. Which of the following is a formula for f° g)(x)? %3D %3D

Q: Solve the following using exact equation or linear whichever is applicable. (2xy − 3x²) dx + (x² +…

A: We are given: (2xy − 3x²) dx + (x² + y) dy = 0⇒M=2xy − 3x²⇒N=x² + y ∂M∂y=2xand ∂N∂x=2x Hence, this…

Q: Given that y = ln a-7, find d %3D O dx dy d.x ||

A: GIVEN : y = ln |x2 - 7|

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

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Q: C. e3x dx

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

Q: Q4: Find the value of for the expression y = e* sin (x) at x = 0. dx

A: To find dydx at x=0

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: To answer the following questions, suppose that Só f (æ) dx = 4 and S s (2) dz -6.

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Q: Find | (V – 6e") dx, where A > 3. Answer choices have been slightly simplified

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Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

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Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: Solve the following equation and find the solution y as a function of x and C (constant of…

A: We have observed that the given differential equation is a first order separable ODE. So, by…

Q: F. Solve the following by Substitution Method. dy = (-5x + y)² – 4 dx 2.

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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: Evaluate fo (36 – z') (1 – 2*/3) v36² x2 dx -

A: Solution is here

Q: 4y"-y=e^x/2+6 consider the following DE to be solved by variation of parameters

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Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

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Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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

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Q: If f(x)dx=2a – 5b, then [f(x) – 2]dx=? a

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Q: Solve the following D.E.s d'y dy 4 + 12 у %3D бх — 2 е* (1) - dx2 dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given: f(x, y) = x³y – y cosh xy Solve for D132

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Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

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

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Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: Given x2 + 15x + 44 f( dx 1+ cos? (x) At what value of t does the local max of f(t) occur? F(4) = /…

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Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

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Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

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

A: ∫x3e7x4dx

Q: (х — 2у)dx + (у — х)dy %3D C

A: Given differential equation x-2ydx+y-xdy=0 It is of the form Mdx+Ndy=0 Here, M=x-2y and N=y-x…

Q: Solve the Following D.E x*dy = (z xy-j') dx %3D

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)

A: As the Laplace transform of the function f(s) is given in the question, will use Laplace transform…

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:

A:

Q: For what value of k, if any, is * kxe-2a dx = 1?

A: Consider the given equation      ∫0∞kxe-2xdx  = 1⇒  k∫0∞xe-2xdx  = 1⇒ k = 1 ∫0∞xe-2xdx

Q: Find the values of "a" such that f(x,t) = e ax + 6t satisfies the equation of 2f ot dx? smallest…

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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: Q3: Solve the following equation using Runge Kutta Method to for the range 1.0(0.1) 1.5 , given that…

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Q: dy Find if y = e 4x2-3x+2 dx

A: dydx=ex4x2-11x+54x2-3x+22

Q: By solving the equation y'(t) = sin(9t) – 81 y(u)du with y(0), we obtain the convolution y(t) = sin…

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Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

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Q: If g(x) = | sinx dx and g |=3, then g (0) is equal to 2 A -2 B 4 D 2.

A: We can solve this as follows:

Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: Use the mothed of arlation of parameters to find the general solution of the following equations. a)…

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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. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

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…