Which of the following is equivalent to the problem shown? 2* where z = r cis0

Q: az If z? = y sin(xy), find ду at the point (-1, ",1) a) - 0.5 b) 플+1 c) - 2 d)-플- 1 e) 0 f) 1 g)…

A: We have to find the direction derivative from the given condition and partially derivative  at the…

Q: 4. Verify if the following equations general solution: are exact and find the 2 9. 2xydx + (1 + x²)…

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Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

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Q: Suppose Q ssnes equation dQ -0.07Q. dt Assuming that Q + 0, what does this tell you about the values…

A: dQ/dt = -0.07Q dQ/Q = -0.07dt Integrate both sides ,we get Ln(Q) = -0.07t Q= e^(-0.07)t Here…

Q: 1. Solve the following first-order equation: (2.ry +3y?)dr - (2ay+a)dy = 0. %3D

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Q: Solve the following 1st order ODE. x² (3x+-)dx+(²- +32)dy=0 y 6. у

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Q: C. Solve the following Bemoulli's equation. 1. 2+ x y = x³y"

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Q: Solve the following DE: (1+ )S'+2St dS *where S'= dt

A: This question is based on solution of 1st order differential equation.

Q: 3. Find irr(3, Q) and deg(B, Q), where ß = V2+ v3.

A: Find the irrβ, ℚ and degβ, ℚ, where β=2+33. Take cube root both sides: β3=2+333β3=2+3β3-2=3 Take…

Q: olve the following initial value problem and 1. y" + y' + 9.25y = 0, y(0) = 2 %3D

A: Introduction: Differentials or derivatives are contained in a differential equation (or "DE"). The…

Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution.

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Q: Find the general solution of the following equations: 2) y" – y = e* + x² 3) y" + y = tan x

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

Q: If z? = y sin(xy), find at the point (-1, ".1) ду a) - 0.5 b) 플+1 c) - 2 d) -- 1 e) 0 f) 1 g) None…

A: Partial derivative

Q: the original equation. Find the solution of the following Cauchy problems: (а) Зи, + 2и, %30, with…

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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: 2 Y Sin y - yy 3=c C- %3D

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Q: Solve the following deferential equations using variation of parameters: 6. y" – 2y + y =: 1+ t2 7.…

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Q: 3x'y"+2xy' = 0 %3D

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0 dx 2- y = ex/2

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Q: Which of the following equations is(are) true? 1 2x du I. -dx x² + 1 S 5.² o √u √2 1 2x II. -dx 10…

A: Given: I=∫012xx2+1dx   ...1

Q: 1. Solve the following equation y" – ky' = 0 given that y(0) = 2, y'(0) = k %3D

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Q: and <0 < r, then sec(0) %3D

A: We use Trigonometry ratios

Q: 7x +3 r sin r 5. If w then what is dw/dr?

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Q: Given : y= cos (1-t) and x V2t-t2 Evaluate y' when t=0 O A. y' = - 1 O B. y = 2 Ocy = 1/2 O D.y = 1…

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Q: Question 21 y dy Find y+2 using the substitution +5= √y+2.

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Q: az If z? = y sin(xy), find ду at the point (-1, .1) d) --1 %3D b) + c) - 2 а) - 0.5 e) 0 f) 1 g)…

A: We will find the partial derivative with respect to y and then evaluate at the given point.

Q: 3. If y x +2 and u = 2x -1 then %3D du a) x b) 1/x c) 2x d) x/2 e) None of the above answers

A: Given that y=x2+2 and u=2x-1To find dydu

Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i Zz = 5e2! Z3 = 4 cis 40°…

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Q: If z? = y sin(xy), find at the point (-1, .1) ду a) - 0.5 b) "+ 1 c) - 2 d) --1 f) 1 g) None of them…

A: z2=ysin(xy)

Q: he general solutions of the following ntia a) y(4) – y – 15 = 0 b) x+ y = x* Jy c) y"" + y = 2 sin x…

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Q: 051 ds 12t (3t-1) , s() = 3 %3D dt Ans * S = 1 (3t-1) -5

A: The solution is as follows below :

Q: (5 + sin r)e 2. If y = what is dy/dr? 12 - 7

A: Use basic identities of derivatives.

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)…

A: Differential equations

Q: Obtain the general solution unless otherwise instructed 2. y" — у' — х %3D 0 SUMMARY OF ANSWERS 2.…

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Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15) b)…

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Q: If z? = y sin(xy), find at the point (-1, .1) a) - 0.5 b) +1 c) - 2 d) --1 e) 0 g) None of them

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Q: dy 4) 2xy = x² + y? + 1

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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: Solve of the following equation 4 y' +y = x'y? Given by x In x – c -x In x + c Option 1 Option 2…

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Q: Solve the following DE. If possible, put in the form y = f(z). Give the domains where the solution…

A: Given: The given differential equation is y-2x+1dx+2y+6x-3dy=0

Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Question 20 Evaluate: o So So (x+y+2) dz dy da

A: In this question we have to solve triple Integral.

Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

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Q: Solve the following problem %3D 0, 0 0, + dx² ' ay? u(0, у) —D 1, u(п, у) %—D 0, и(х, 0) %3D 0, и(х,…

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Q: 3) Solve the following IVP. y" 4y 3(4) (o if te3 gre)=?exr(ase) if tz3 where "exp(x)= e et

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0

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Q: 2 Find az/ax if the equation yz - Inz = x + y

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