By using method of elimination find x(1)+ y(1)=? for given: dx = 3x – y dt x(0)=1 & Recommended time is 10 minutes dy = 5x – 3y dt y(0)=-1

Q: dx dt x = ثر - |

A: A differential equation is said to be a homogeneous differential equation if we can write it in the…

Q: Eric invest $1050 every year in an annuity that pays six. Six interest compounded annually. Payments…

A:

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

A:

Q: 4. If f (x) = x°g (x), g(–7) = 2, g' (–7) = –9 determine the value of f' (-7). %3D %3D 5. Find an…

A:

Q: Suppose that x and y represent the amounts of two basic inputs for a production process and…

A: Suppose that x and y represent the amounts of two basic inputs for a production process   The…

Q: In linear algebra, if a vector is in the range of a matrix A, then it is also in the null space of…

A: The given statement is False.

Q: x²y+y°x=-2 .2. X.

A:

Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

A:

Q: Find dy/dx when y=e2xtan2x

A: Given,

Q: x(ху — 1)dx + dy %3D 0 (Non-exact)

A:

Q: Sx (Vx-1) dx

A:

Q: 12. y = 3t 1+t³ X= 3t² 1+t³

A: We can find y' using chain rule as below.

Q: dy Find Z for y = (8+ x³ In x)ª + e3x

A: We have to find out derivative

Q: B) find dy/dx if y= x(x-2) x²+1

A: Given Equation in 2 variablesTo find out Slope

Q: xydæ – (x² + 3y²) dy + 3y?) dy = 0

A:

Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: Find dy/dx given that 10x = xe* +y %3D

A:

Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: Calculate the increment and differential of the function y=x+2/x+1 at the point x=0 when Δx=0,1.

A: The increment of the function: y=f(x) is calculated using the formula: ∆y=fx+∆x-f(x). The…

Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: Taylor is paid on the frst day of the month and $80 is  automatically deducted from her pay and…

A:

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

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

A:

Q: d³x d2x dx -2- =0 dt dr3 dr?

A:

Q: Comprte Dy and dy for given values of x und dx= Ax. 4ニ-4×+レX=-Ax=dx= 0.03 メニーしA×= dx= 0.03

A:

Q: Valero's 5k Fun Run was held yesterday in the downtown district. The top runner 4 runners (one of…

A: Given 1. Ralph finished 1 minute after the competitor in the white shirt. 2. The competitor in the…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.