1. Test IlI. Solve the sys: fx-y%3D2 y = 1. x+y=7 1o the foll

Q: Solve the following second order homogeneous LDE y" + y – 12y = 0 y(0) = 0, y'(0) = 1 y(0): %3D

A: To solve the given homogeneous differential equation, first we solve the auxiliary equation and then…

Q: xarctanydx + dy = 0 2(1+ y²)

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Q: Find the complete solution of dy + dz = 3z'ydz

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Q: Solve the following second order homogeneous LDE b) y" + 4y + 5y = 0 y(0) = 0, y' (0) = 2

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Q: Solve the Bernoulli equations given below dy, y dx 2x %3D

A: Given:

Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: G YA PAZ E X F 7. PZ = 5 and GY 12. Find GP. (purple) %3D

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Q: dx -2xcsc 2y – 2x³cos 2y dy sec 2y

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Q: In the given Bernoulli's equation 6y²dx – x(2x³ + y)dy = 0, what is ƒ P,(y)dy?

A: I have appended the formula used in the solution part

Q: 4. Consider the given diagram. 5 mm a° b mm 4a Solve for a. tervournextstep here

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Q: Find the general Solution for Ive Coeffcent? using method of undetermined y'0) =4

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Q: Sc ot'(3y)dy

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Q: Use variation of parameters to find the particular solution to 3t y'' + 5y + 4y = 2e Y(t)=| Preview

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Q: Question No.07: f Y=xi+ i work aut V. ) y9+gk and y = |Y),

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Q: dy ,2,,2 1. х + 3y = x?y? dx

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Q: I Determine the order and degree of the differentiah equation dx y-

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

A: See the attachment

Q: Wse the genoral solution of the dfferentrol eguctron gives below to use the poranmeter Exchange…

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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: The appropriate form forVthe method of underenmined coeerents was used to solve the DE y" + 3y +…

A: c NOT option is correct.

Q: From the figure below: a) If valve A is opened while valve B is closed, determine the amount of salt…

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Q: Solve the Bernoulli equation. 3xy' + y = y¯8 x>

A: We have to solve

Q: Without solving, classify the following equations as to: separable, homogeneous, exact, linear,…

A: Classification of the differential equation

Q: In each exercise, obtain the particular of solution. (16x + 5y) dx + (3x + y) dy 0; the curve to…

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Q: (b) I xy(z +2) dx dy dz

A: We need to evaluate the given triple integral. Note the integration result ; ∫undu=un+1n+1+C , C is…

Q: What is the specific value of x and y in the diophantine equation 17x + 23y = 157?

A: In this question we have to find value of x and y in Diophantine equation,

Q: [dz dx (x+y+z)dy (c) CS imscarner

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Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: 2. Find the solution of 2x³y' = y (3x*+y?). Use Integrating Factors Found by Inspection.

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Q: y" – 4y' + 8y = x², y(0) = 2, y'(0) = 4

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Q: The solution of the Bemoulli equation y' +2-Vy= 0 is:

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Q: The solution of the DE (1+ cot²x)y' = cscx coty is

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Q: (b) For the solution that satisfes v(0)1, sketch the solution curve and estmate the following v(0.5)…

A: (b) The solution that satisfies y(0) = 1 can be sketched as follows:

Q: Find a particular solution to y" + 16y = 24 sec(4t). Yp |

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Q: Solue the following system. - 2 x, - 5x2 - cost a) by using the method of dt voriotion of prometers.…

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Q: Solve the given LDE using the method of UNDETERMINED COEFFCIENTS.  1. y''' - y' = 4e^(-x) +…

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Q: Salve: (1+yjdx =2yVi-x? dy

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*)…

A: we have to find the solution of  given differential equation.

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

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Q: Solve the ruiftlal -value problem sy'-3 y =0 1 yl0) = - | y'(0) = 24 ニ ylo)= ? %3D

A: The differential equation is given as 2y''+5y'-3y=0 The corresponding auxiliary equation is…

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Solve the follaving systen. 2 x, - 5x2 - cost a) by using the method of voriotion of prometers. dt

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

Q: Use the method of separation of variables to solve the heat conduction equ д?и 1 ди k > > 0

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Q: solve the initiat Valu Drobblema L'y 2eY (0)=L and Ylo)=0

A: Given d2ydx2=2e-xintegrating on both side∫d2ydx2dx=∫2e-xdxdydx=2e-x-1+c1dydxx=0=-2e-0+c1=0  (…

Q: y™ -2y = 0 %3D

A: Given the differential equation y''''' - 2y'''' = 0. Auxiliary equation is m5 - 2m4 = 0

Q: Solve for the Bernoulli's equation -- ses 2ds = 5t³s3 .33 %3D dt

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Q: Use the method of Variation of Parameters to solve the following DE: у" — у %3D2х2 —х— 3.

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Q: Solve the variational problem 8 Ix (y ? +2y (x+y)] dx = 0, given y (1) = y (2) = 0. %3D

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