16 Q4- Solve the following system of ODE dx dt Eaux"> dy dt = y + 1 =x+1

Q: 7. Evaluate Soy4 2 - y dy using Gamma/Beta function.

A: The solution is given as

Q: Find the partial derivative fx and fy of the given function 3x f(x, y) = -y2 :/ cos(r? – - t + 1)dt.

A:

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

A:

Q: y = x"^, x > 0 Inx-1 Inx Inx C. y'= 2lnx x' „Inx-1 D. y'= 2lnx x" „Inx-1 A. y'= x B. y'= 2 x'

A: SOLUTION-

Q: 2. で-5e dt = 4.

A: ∫xndx = xn+1n+1

Q: QI: Find the area between x =2y2 + 3 and x = y2. %3D

A: x=-2y2+3x = y2

Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: Q3 / Find the solution of non-linear ODES below: y' +xy = 2xy %3D

A: The general solution of the differential equation is as follows below:

Q: Chapter 4] If f(x) = dt, where g(x) = 1," (÷) V1+t3 [1 + sin(t²)] dt, find f'

A:

Q: Please find the requested derivative of the following functions. s²-4st+t² = 4, find 25 ds dt - ds…

A:

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t? –…

A:

Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

A: Given- Assume that  dx1dt = x110 - 2x1 - x2dx2dt = x210 - x1 - 2x2 To find-  Graph the zero…

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: Classes X < Back to Content Library of Congress Ae X ELy'Onna Wilson - Altern x ||| - CD…

A: 1) 35log32 =322) 2 ln e14 = e3) e2 ln e-1  = 2econcept used1) ln e = 12) logaa = 13) logabk = k…

Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: dx? + (m – 1)(ax³ +b+ cy) = 0 dt2 How do you split this into 2 first order derivatives? Also what is…

A:

Q: Is there a way to know how many equilibrium points a differential set has or do you just find out…

A: We have to explain, if there are any alternative way of finding the number of equilibrium point…

Q: solve the following D.E dy 3x - Y = Ln X+l

A:

Q: ow do we solve this linear ODE? I'm assuming using integrating factor method, but I don't know how…

A: A differential equation of the formis called a linear differential equation and its integrating…

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

A:

Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

A:

Q: 4 1. y" - 3y' + 2y = 1+e-x 2. y" - 2y + 2y = 3e* secx

A: We have to Use Method of Variation of Parameters to find the particular solution of each given ODEs.…