1- , S" cos(x)esin(x)-8y dydx

Q: E Find the derivatives of y with respect to x: a) y = xex - ex b) y = e(4x+;) c) y = e*(sin x + cos…

A: we have to find the derivative of following function with respect to y (a) given y=xex-ex…

Q: у" — у' — х*е* + 5 + сos x

A:

Q: 6. Find dy dx of cos y - 2xy + 3x = 2x sin x

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Q: with y(0) -1

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Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: JO (5) Find the derivatives (a) d # t ( * cos(2³) dz + 35e) 4

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: 6) Find X 11 df dx by using chain rule if f=u+= cos² u G(x)= U=πX 7) Say whether the function is…

A:

Q: Q3) Find the derivatives of the following functions a) fy=cos u, u=2x+x/2 find dy/dx at point(0,2)…

A: i am solving 1st two question for last question repost.

Q: * Solve x(t) and y(t) simultaneously, if the differential equations of a system are defined as…

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Q: d csc 'x dx -1 Prove that xVx? – 1 2.

A:

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: Find y' if y= is-2x(+)* +

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Now consider the following integral. x=3 D = x ² A(x, y, z) dy dx. x=0 y=0 (ii) Let A(x, y, z) = 21…

A:

Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 9. Evaluate y' of y = e-2*sin3x a. 3e-cos3x- 2y b. 3e-cos3x- 3y c. 3ecos3x - y d. 3e-cos3x +y e. Not…

A: Explanation of the answer is as follows

Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: Q3) for f(t) = sec-(6t- 1) and g(t) = tan (6t - 1) show that s'() = g'(t). %3D

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Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

A:

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.