The differential equation X dx + y dy= xy dx can be rewritten as y + p(x)y= q(x)y" . let f(x) = e -n [pW dx x3 Then Inf(x) is?

Q: a. f (x) = 4x + sin(x) - e* = 0

A: The objective of the question is to find the root of the equation f(x) = 4x + sin(x) - e = 0. This…

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: Find the second derivative of the function f(x) = 2 – 3x + 5æ/2 – 7e" . 15 f"(x) = –3+ 2 7e" f" (x)…

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Q: If f(x) = sin x 7T find f %3D (a) 1 (b) / 2 2. . т (c) 1– 4 (d) V2 1+ (e) /2 (1- 3)

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Q: dy 1 csc(x) -csc(x) y = y* dx

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Q: find y' (xy)x = e

A: Given problem:- find y'   (xy)x = e

Q: 3- 2 -3 2 -1 2 3 g(x) = sinh(x) -1 -2

A: the symmetry used here is the y-axis which divides the graph into 2 equal portions.  the graph given…

Q: 17 [," Farde - [." Farde - [." Her de f(x) dx f(x) dx = = f(x) dx

A: given that  ∫317f(x)dx-∫311f(x)dx = ∫abf(x) dxthen we have to find value of  a and b   since we know…

Q: In f(x) dx = F(x). F(x) is called the

A: follow the procedure given below.

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

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Q: dfy = 12 - 30x, y'(0) = 7, and y(0) = 2. dx2 Find the function y(x) satisfying = 12 - 30x, y'(0) =…

A: Given:

Q: dy X Solve dx +(1+x)y=e*; y(1) = 0

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Q: Suppose f(2) = 1, f'(2) = –6, and | dH H(x) = (1 + f(x))³. Find dx Н (2) %3

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Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: The derivative of f(a) = -a* - 4 * – 2 a2 - a is O f(a) = -4 a – 12 a - 4 a2 O f(a) = -4 a - 3 a2 -…

A: We have to find the derivative of f(x) = -x4 - 4x3 - 2x2 - x.

Q: 15 .3 Suppose f(x) da = 2. f(x) da | f(x) da = 5. What is | f(æ) da? 3, and -8 -10 10

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Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

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Q: '5 '5 '5 If f(x) dx = 33 and g(x) dx = 14, find [2f(x) + 3g(x)] dx. %3D

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Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: f(x)=cos(x) Glx)こxや+1 d f(9(x) = t3 clx

A: We have to find derivative

Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: 3. If A and B are finite-dimensional, orthogonal subspaces of an inner product space V, then show…

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Q: Suppose F(4) = 4, F(10) = -9, and F'(x) = f(x). 8 S f(x) dx

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Q: Solve u(x)=(x-1)e*+4 e (*+t) u(t)dt

A: This question is related to definite integeration. We will solve it using basic definite…

Q: =- Determine the values of c and d for f(x) = fƒ (7) = 0. For what value(s) of x is f(x) increasing?…

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Q: Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y = 0, then so is y = C₁y₁ + C2y2 for…

A: Given that  and  are solutions of .The objective is to verify that  is also a solution where  and…

Q: 1 (x2 5)e-X dx

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: dy y = xe* = dx 1- e*(1+x) 2- 1+e* 2- ex+x 4- xe*+x

A: Given  y=xex We have to find  dydx.

Q: If f (2) =3,g(2) =1,f' (2) =4, and g' (2) =2 (2 fx) -3 g(x) +4 x ) x=2 っ40 A O .BO 98 0

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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.