x' = 5 1 - 1 3 X

Q: IS 1. 2. Use Euler's method to approximate to approximate the solution of the initial value problem…

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Q: x' = 4x – 5y y' = x- 2y x(0) = 2 y(0) = –2 %3D züm vektörü X(t) = aşa y(t).

A: System of odes

Q: A radioactive substance decreases from 10 grams to 9 grams in 9.4 hours. Find its half-life. Express…

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Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: { Уі = 6) 1 бу, + 9y. 1 2 y,' = y, + бу. 2 2

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Q: Explain the properties of ordinary differential equations.

A: We have to solve

Q: rential equations f

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 47x +75y -30x - 48y satisfying the initial conditions r(0) = 19 and ly' y(0) 12. x(t) = y(t) =

A: Given equations  are  x'=47x+75yy'=-30x-48y  with the initial conditions x0=19 and y0=-12 To find…

Q: 1 2 1. X 0 -2 1 X || 3

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Q: dy dx Vx² – 16 х d explicit particular solution of the initial value problem 2y- У(5) %3D2

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Q: (c) y" + 2y-3y = 9 sin(t)

A: A detailed solution is given below

Q: How the higher-order differential equations can be replaced with an equivalent system of first-order…

A: Let me illustrate this using a third order differential equation. Whatever we do for this third…

Q: Why are separable differential equations called "separable"? State an application of these types of…

A: Suppose we have a differential equation involving x and y as variables. Separable differential…

Q: -"(x) + 2»'(x) - 3v(x) =D -글 + 1 + 2r2 + 4r-1

A: Step:-1 Given that  -v''x+2v'x-3vx=-2x2+1x+2x2+4x-1 This is second order non homogeneous…

Q: da dt dy 1 Int x + dt

A: Given Differential Equations are                                                         dxdt=y,…

Q: What the differential equations, are why applications? we use the m, write Some

A: An equation involving a function and one or more of its derivatives. If a function has only one…

Q: 6y²dx - x(2x³ + y)dy = 0 %3D

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Q: Solve the system of differential equations. [3 -13 8 - [*]**(0) = [] X; X 5 1 16 XI=

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Q: What are the similarities and differences between solving a single linear differential and solving a…

A: This is a question of differential equation.

Q: +z-y=3e' %3D dt dr dy + 2r+2y= e' dt dt

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Q: Find the solution of the differential equation system

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Q: X' -1 et x + 3 -2

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Q: 1/x + 3y = sinx/x² 1-2ye* = 2e* √y

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: хуdx + (x? - Зу)dy%3D0

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Q: y(3) + y" = 3e + 4.x2 diferansiyel denklemining %3D dy d'y la y(3) dir.) %3D %3D dr3 y" d.x2

A: Given differential equation is y(3)+y''=3ex+4x2

Q: A tank initially holds 100 gal of a brine solution containing 1 Ib of salt. At t = 0 another brine…

A: Let x(t) is the amount of salt in the tank at time t. The differential equation corresponding to…