of Solve the initial value problem xdy + dy= ydx, yca) =6 %3D df dx find the function fox) Given = Sinx-cosX + 1, fCo)=4

Q: QUESTION 8 Differentiate. y = 6x-4 dy dx 4x (6x - 4)2 dy dx 4 бх - 4 dy O dx 4 (6x - 4)2 dy 12x-4…

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Q: Assume: (1) FIT calculated by percentage method and (2) Social Security 6.2% on $118,500; Medicare…

A: Based on the wage brackets provided, let's analyze how income tax withholding is calculated for a…

Q: Cos X- cosy Jax-sinxsiny dy=2

A: A differential equation of the form Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and…

Q: 1. (2x + 1)(x - 5) dx

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

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

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: Find dy/dx of * ye2x + xe2y = 0. %3D

A: This is a derivative problem

Q: That question please

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: x dy (1 + 5x²y*) = 29 dx

A: P

Q: If y = cos 3X find dy/dx: y = cos?3x = (cos 3x?. (cos 3x )?. %3D

A: Given, y=cos23x=cos3x2

Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

A:

Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

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Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

A:

Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: 6メ-8) - $(4)= =1 Cos x (8-x9- 15) %3D

A: Since in part 1st given equation has no rational roots so I will do 2nd question

Q: dy Find if y = 4 sin?(3x) dx

A: Here we have to find the derivative of function y which is given as above. Here I am attaching a…

Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

A:

Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: Let f(x) = e cosx, sx %3D 2. Express your answers in exact form. ElN

A: Inflection point occurs when the second derivative of the function equals to zero.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.