- 6х + 2у, dt dy -3х + 1у dt

Q: -2it dt = .A 1 i 2 2 .B 1 i 2 2 .C 1 i

A:

Q: dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

A: topic - differential  equation

Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: dt t3 Vt? - 9 J3v2

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Q: 2t dt (t + 1)v5t – 7

A: ∫2x2x+15x-7dx Take the constant out:  ∫a·fxdx=a·∫fxdx =2·∫x2x+15x-7dx Substitute u = x+1…

Q: dy = 3y³t2 dt

A: Given differential equation is: dydt=3y3t2 Rearranging the terms we get, dyy3=3t2dt Integrating both…

Q: -t te dt.

A:

Q: Ге-). 5x) dx х Je

A: Consider the upper integral.

Q: 5. (t²-1)(4+3t)dt

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

Q: dx + 3x = e dt -2t

A:

Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: a) |(w - 1)(2y + 1) dy

A: a) ∫02(y-1)(2y+1)dy=∫02(2y2-y-1)dy=2∫02y2dy-∫02ydy-∫021dy=2y2+12+102-y1+11+102-y02…

Q: S(8x-6)'dx i. + 4e dt -3t ii. 3t 20(3x-2) iii. xp-

A:

Q: dy/dt^2 – 4dy/dt – 5y =0, y(1) =0 ; y’(1) =2

A: Given differential equation d2ydt2-4dydt-5y=0  , y(1)=0 and y'(1)=2

Q: 3tx dx - (? -x?) dt = 0

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Q: d²y dy +2 + 5y = 5t2 dt? dt

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Q: dy Ry (16-4) dt

A: Given the differential equation dydt=ky16-y, which models the population after the year 1925. Also…

Q: dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

A: Given: The differential equations are  dxdt=2x+y+2zdydt=3x+6zdzdt=-4x-3z To find the general…

Q: 214 -3t ds Find dt

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Q: dy - 2e3t-2y; y(0) =0 %3D dt

A: The given equation is, dydt=2e3t-2y

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

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Q: du/dv = (3u-v)/(u+v) partial

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Q: g-3y-70 dy

A:

Q: dx | | dt dy dt dz dt = 3x + 2y + 4z = 2x + 2z = 4x + 2y + 3z

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Q: Uz + xuy = x²y, u ( x, 2x + = 5x

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Q: 4+°メ -> X-X %3D dt メ+3

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Q: Solve y(x)=1–2x–4x² +[3+6(x-1)-4(x-1)ʻ]y(t)dt it.

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Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: F(2) = | (t + 2) dt. %3D

A: Given F(x)=∫0x(t+2)dt

Q: d2x/dt2 + 4dx/dt + 4x = 0   x(0) =2, x' (0) = 1

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Q: dy 4. dt + 2, y(1) = 3 t

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Q: d²y dy -4 dt? dt

A: given: d2ydt2-4dydt+5y=2et

Q: dv * + 4v = 0 dt

A: We have given differential equation,     We will find solution using separable method.

Q: dt 2 (t–1)(t²–1)²

A: By using partial fraction we can find the given integral

Q: x2 -dx 1+ x4 -dx (x² + 1)²(x² + 2.x + 2) 1 -dt, for a> |6|. > [b]. а a +bsent

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Q: y Ux у иху +и%3D 0

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: 2. dy 5y=Dy

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Q: Uz + xuy = x²y, u (x, 2x + = 5x 2 %3D

A: Lagrange method for solving partial differential equation: Let us consider differential equation:…

Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: dx + 2x + + 6y = 2e' dt dt dx 3x +3. dt 2.+ + 8y = -1 dy dt

A: The given equation can be re- written as:

Q: の そ ニ ゼdd + とd dt :d と の まdと +(そ-乳)よy:。

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: 4t 5t dt Jo

A:

Q: du 17. t - = t² + 3u, t> 0, u(2) = 4 dt

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Q: 7t – 3t' +7 dt = +C. + 6.5 ſū du = +C. 1 dx 3x4 +C.

A:

Q: Gy-5 (ay +1)3 dy

A: ∫6y-5(3y+1)2dy

Q: d sec(2x – 3) dx = dt

A: From the fundamental theorem of calculus, ddt∫atf(x)dx=f(t) Where 'a' is any arbitrary real number.