d dt dx dy ruations dt - 2x +2y 1-2t, dyx-0. Giv dt 2 dt

Q: .dx/dt = x+y², dy/dt = x + 2y

A: We have to find the critical points of the given system of equations dxdt=x+y2 ,dydt=x+2y

Q: d'y +45 - 6y = -12 ; y (0) = 1, y (0) = 4, y" (0) = -2 %3D %3D dt3 dt? dt

A: We have to find the solution.

Q: dy dx ; x = 0, y = 1 , t= 0 dt dt 2) x = t2 + t y = t2 -t -00 <t < 00 %3D fall

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Q: dy dt (d) di² + 2- 3— 3t + 2, у(0) — У (0) — 0. dy (е) di? dy + 20y %3D —3 sin 2г, у(0) %3 у' (0) —…

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Q: Find dy/dx in Exercises 1–6. 1. y = x/4 3. y = 7Vx + 6 2. y = V2r %3D 4. y = (1 – 6x)/3 - 5. y =…

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Q: Find dx/dt given that 4x^2+9y^2=13x  x=1,  y=-1 and dy/dt = 10

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Q: dx dy - 2x – 2y. a) dt -x, dt dx = x + 3y, dt dy dt 2.x. b) dx dy (c) 3x – 4y, 2x – y. - dt dt

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Q: dx If y = 2x3 + 3x and dt dy 3, find when x = 4. %3D dt dy dt =

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Q: dy Let xy = 1 and = 4. dt dx when x = 2. dt Find

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Q: * = x- 2y+ 2z = -2x+y– 2z dt dy dt E = 2x – 2y+ z dt

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Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

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Q: dx dy (a) dt di -y = 6e3t, 2 dt -3x +-3y = 6e3t; dt x(0) = 3, y(0) = 0.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (dx — Зх — 2у dt dy 3D —х + 3у — 2z dt dz = -y + 3z dt %D (λ1, λ = 3, λ5)

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Q: dx – x = 4y, UTM dt dy + x = y + 3e', dt

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Q: 2 dy = t(i+t=) sec>x dt

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Q: Gixen dw wt 3y x dt dy +2X +3 x Find the gencral oludtii, usri eign.

A: Write the given system into matrix equation as follows.

Q: dx dy - x - 2y = 16te', 2x – dt - 2y = 0, x(0) = 4, y(0) = 0 dt

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Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

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Q: (dx = x - y+z dt |dy = x +y – z dt dz — 2х — у dt

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Q: Calculate dy/dt using the given information. x^4/3+y^4/3=2; dx/dt=6, x=1, y=1

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Q: d?x dy -y = 0, dt? dt dx 2- dt dz +- z = 0, dt dx dy + 3x + dt -4y+ 3z 0; dt dx x(0) = 0, (0) = = 1,…

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Q: dx If x2+y2+z2 = 9, dt dy = 6, find dz when (x, y, z) = (2,2,1). dt 4, dt dz dt when (x, y, z) =…

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Q: d³y dt3 dy + 4 dt2 + 5 dt + 2y = 10 cost y(0) = 0, y'(0) = 0, y"(0) = 0 %3D

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Q: dt2 d²y e. ++ 4y = 8t – 10, y(0) = 1, y'(0) = 7 %3D %3D %3D

A: As you post multiple questions According to the guideline I only solve the first problem. Please…

Q: dy at x = dt dx Find - 4 if y = 4x² +1 and -2. %3D dt dy %3D dt

A: Take the derivative with respect to t and put the given values.

Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2

Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

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Q: dx dy %3D 2x + 2) + 1 dr dt dx +2 dt J+ 3 dt

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Q: dy If y = 4x3 + 5x and dX dt 2, find Y when x = 3. dt dy dt

A: We have, y = 4x3 +5x dxdt = 2

Q: dx dy dy Find and dt' dt dx x = 3t – 3ln(t), y = 4t2 – 4t-2 dx dt dt dr

A: Given x=3t-3lnt        y= 4t2-4t-2

Q: dy If y = (t + 5t + 6) (2t² + 4), find dt dy %3D dt Submit Question

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Q: dx dt dy dt x(0) = 2 y(0) = 1 3x – Y 9х — Зу

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Q: Calculate dy/dt using the given information. xy+x=12; dx/dt=-3, x=2, y=5

A: To calculate (d y)/(d t). find the slope of tangent line of the given curve by using implicit…

Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 %3D dt dx dy + x + y - 3 = 0 dt dt 2.

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Q: dz/dt = -Bz(1 – vz), z(0) = 1. %3D

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Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

Q: dx dt dy dt x + 2y -2x – 3y x(0) = 1 y(0) = 2 | |||

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: dz dt 3x – 2y fip dt 9x - 3y %3D z(0) = 1 %3D

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Q: 2,d'y(0) = -2 dt? d'y(t) , dy(t) dy0) - + 3 dt = sec(t), y(0) = 2, dt %3D %3D dt

A: Answer

Q: dy(t)25dy(t) + dt + 2y(t) = %3D dt2

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Q: sech 2t dt Evaluate 3, coth 2t

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Q: dx = 3x + 5y dt dy 3D — 2х + 5у dt x(0) = 5, y(0) = -1. %3D %3D

A: We have to solve the system of differential equations: dxdt=3x+5ydydt=-2x+5y       x(0)=5, y(0)=-1.

Q: 9. dx/dt = −(x − y)(6 — x − y), dy/dt=x(4+y)

A: Given that, dxdt=-x-y6-x-ydydt=x4+y We have to determine all critical points of the system of…

Q: - = 2x, – x, dt dx, =-x, +x, +4e' dt

A: integrating, x1= (x1)^2-dx2/dt, replace dx2/dt with -x1+x2+4e^t in above equation…

Q: dw t- dt dw + x- dx 1, -0 1, w(х, 0) %3D f(x). ||

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Q: dy Let xy = 4 and = 5. dt dx when x = 2. dt Find ||

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Q: dy -2y 3cos3t – 11sin3t dt? dt

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Q: Can i get help step by step please

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