. Find all solutions to the equation 4sine - 2 =0 on the interval [0, 2n). %3D

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A: The given curves are, r=11-cosθ                      ........(1) r=31+cosθ…

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A: Given: (x2+3x-4)y'''-tan(x)y'+exy=7, y(-1)=1

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Q: Which of the following is the form of a particular solution of y" +4y' = 3e2t + cos 2t + t? %3D

A: We have to find the particular solution of given diff equation.

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A: Givent-3 y'+tan t y=t→          1,       yπ=0According  to fundamental theorem of existence and…

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Q: 4- Solution of the following equation 4xy²dx + (x² + 1)dy = 0 is

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A: Given:     sin(x) - 3/5 = 0  Initial value = 1

Q: The particular solution (when x = 1, y = 0) of %3D X 4 dx + x e* - 4+ y cosy |dy = 0 Уе + xе* + 6- -…

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Q: what is the privet solution to thhe equation (6+0)ycx)= Xsin cx) (X) %3D

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Q: Determine the largest interval in which the unique solution of (t-3)y +tan t y = t, y(n) 0 is…

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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: sing the method of variation of parameters to e a nonhomogeneous DE with = -ex, W2 = e W2 = e-1Ix…

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Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

A: Separable equation:   A first order differential equation y’ = f (x, y) is called a separable…

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A: The given equation are  r= 2acos(thitha) r=a√2

Q: So (xs +x) dx 24.47 %3D The bet ween y = sin x and the x - axis for area

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Q: Given that the DE y" (t)-6y' (t) + 6y(t) = 2e6t has a solution of the form Ce6t determine the value…

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Q: Ex: Salve the equation ofD-o Pelatermeth dy inzx

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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: Determine the largest interval in which the unique solution of (t-3)y +tant y = t, y(7)3D0 is…

A: The given differential equation is: (t-3)y'+ (tan t) y=t ;      y(π)=0

Q: Find the solution of the following: 1. y' = sec2 y %3D

A: The given equation is a differential equation that can be solved with the help of integration.…

Q: Which of the following plots best represents the solution with the initial condition A(0) = $1mil?…

A: Given data:   The given initial condition is A(0)=$1 million.   The initial condition can be written…

Q: Show that the equation Əy + 2k Əx? possesses solutions of the form 00 2 c, e-kt 1" =0 Σ cos (a, x +…

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Q: Q1) Solve the following DEs а) ty" + (1 — 2t)y' + (t - 1)у %3D 0 y1 = et

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Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: 15. Find all values of the constant c so that (2x + y)dxdy = 3.

A: Given equation is Firstly, we will evaluate the integral.

Q: The þaramehc equalion of the unde x+ =9 is ☺ x = 9 cost, y=9 sint X = 3 cost, y= 3sint X = 3 cost,…

A: A circle is a two dimensional  shape an it is  a closed curve . A set of all the point are at the…

Q: the fact tbot E andL ofther,. L(x), 「ヘve-ses are Lbe)ミ1ax using of ench ofher, the formula well…

A: Given : E(x) and L(x) are the inverse of each other

Q: 4. Which of the following is an isocline for the given equation? dy dr (a) y- (b) y=z+1 (e) y- 2 (d)…

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Q: Given f(x) = 2 cos r + cos? r, 0 < r< 2n (ii) Find the local maximum and minimum values (if any)

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Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

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

Q: 6. 5. 4. 0.34 of of 0.15 5.8 17 of 3.0 41

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Q: Sulve the ea Mation in the inter val [02). for solutions Cos 2X =1

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Q: The value of 6 Jo° (4+ cos2x)dx is: 글(똥-0.5) 1 ( 47 4T 글(똥 +0.5) 3 None 글(품 + 0.5) 1 4 3

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Q: Find the solution of the equation cos y which teds to zero as r 0o and has the valRe coS N Vwhen r=0

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Q: Which of the following equations has solution = = f(cos(x- y)) ? Ob. + 2:, +, =0 , =2:,:, Od -2:, +…

A: Differentiating the equation and try to eliminate variable to form differentiation equation.

Q: 3y(x² – 1)dx + (x³ + 8y – 3x)dy = 0; when x O and y = 1.

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Q: 3. following Solve the dy

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Q: b) Solve the following hyperbolic equation using suitable hyperbolic identity. 2cosh (x)–…

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? from the given, solve the followin d) e) Zxy f) Zoxy

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…