nd an equation that says that P = (x,y) is e %3D call any point on y-axis has the form (0, y

Q: dy Using Bernoulli's equation, solve for the general solution of Please show complete dx 2x y…

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Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

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Q: x2 + z2 = 7 Write an equation for the cross section at  y = −7 using x and z. Write an equation…

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Q: Find y in terms of x. dy 4 dx =x* (32-x), curve passes through (2,9) The solution is y =

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Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: Given y3 – xy2 – x²y=2. Then, at the point (1,2), dy -is Blank 1 dx Blank 1 Add your answer

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Q: dy The equation +¬y=xy can be classified as FOLDE and Bernoulli’s equation. dx x2

A: bernoulli equation is  dy/dx + a(x) y = f(x) yn where n real number but not equal to 0 or 1

Q: e the following nth-order equation using the variation of parameter method: y"-3y"+3y'-y=

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Q: h is jointly proportional to q and v. It is found that q = 9 and v = 8 when h = 3. k =

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Q: You are given a first-order D.E. = x2 + y³ . Suppose the solution y(x) satisfies the initial dx…

A: dydx=x2+y3  and y1=-1

Q: cost Sint and y= 7. a Find dy for X-a zXP

A: Solution:- differentiate by parametric method

Q: d?y =6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

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Q: Part 1 of 5 To find dy = y' for 9x3 + x²y – xy³ = 1, we differentiate both sides of the equation…

A: Answer is 0 Explanation is given below..

Q: ゴろしていににすい)ン) (え)2 (え)2く %3D What is the y(t) equation for the question marked?

A: What is the y(t) equation for the question marked ?

Q: dy Which is the of the equation y = e 2x+3? dx 2 В. х+ 3 С. 2х + 3 X + 3 2X + 3

A: given  y=e2x+3 find dydx

Q: Bernoulli's Equation 3dy – 4xy dx = 3x²y*e¬2x² dx 3x?y*e-2x? -

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Q: l equation of y" os(3x) +C, s 3r)

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Q: auchy's m d g(x) = e %3D

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Q: cosh (2 m(x)) dkr (A) 를 + +c (B) 0 (C) (D) sình(2 m(r)) +e (E) है - c

A: Solving the problem by finding the value of the integration.

Q: 3) S, f(x)dx = 17 and f(x) = 2.4 , find , f(x)dx. %3D

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Q: dy + x2 4 The equation = xy can be classified as FOLDE and Bernoulli's equation. dx A True В False

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Q: 3x dz Find x- : +y , if z == 3x-4y dz ду За — Answer:

A: Explanation of the answer is as follows

Q: C. Solve the following equations by finding equation. an integrating factor to simplify the 1.…

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Q: EQUATION xy = y + x2 sin a

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Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

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Q: The sales of shirts and ties at a store are related by the equation 0.6x³ + 3xy + 8.3y³ = 78659.1,…

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Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

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Q: d?y EI + Fy = 0, dx² Slove the equation with y(0) = 0 y';) = 0. E, I, L F, are non-real numbers zero

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Q: Q5) show that the following equation is exact and solve it . ylnx²dy +dx xӀпу?dx +— dy 1 %3D x2 y

A: given equation ylnx2dy+y2xdxxlny2dx+x2ydy=1 show that the following equation is exact and solve it

Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: ing factor of the equation, (r +y° +1) dz (xy+ y) dy = 0, z +1 7 0. (z+ 1) * C. (x + 1)* D. e(z+1) *

A: We have to solve

Q: Find the value of the constant a if V(x, y) = 3ax +3xy satisfies dx %3D + a = (Type an integer or a…

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Q: Determine the r values for which the f unction y(x) is solution of the x² + 1 equation y – 2xy? = 0

A: We have to find

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2). help (equations)

A: We will find solution by using integration.

Q: d'y and dx? dy 8) At which of the 5 points on the graph in the figure below are dx both negative?…

A: Points B and C which satisfy both the condition

Q: 4- fil0,00)→R all continious Aunction aro Sx³f(x?)dx= Sx f(x) dx %3D show this.

A:

Q: dy .? dx %3D Suppose x and y are variables that satisfy the equation x2 – y³ = 12. What is

A: We can find dy/dx as below.

Q: dy If x and y satisfy the equation x³ + y³ = 4xy, find dx

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Q: Show that E(Y) = 0

A: The E(Y) can be calculated as E(Y)= ∫-∞∞y·fydy

Q: ƏM Consider the equation (y² – 2x)dx + (2xy+ 1)dy = 0. If f (x, y) : ƏN what is the value of əx' ду…

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Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

Q: How do you find the local max and local min of this problem?

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Q: EQUATION dy +3y 2re

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Q: The Method of Variation of Parameters (3) y" + 4y = sec x

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Q: Q2. Find the value of (D) for the given D.E if we use the variation of parameters method d'y +y…

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Q: -3x Find an equation of tangent Oa y=21x+36 Oby=x-36 Oc. "у-21х-36 d. y%3Dx+36

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Q: y(r – y?)dx + x(xt +y?)dy = 0

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.