QUESTION 2 x' = -2x + 4y y'= - 4x – 2y x (0) = 2 y(0) = 8 %3D At = 0.1 Use the Euler method with a time step of 0.1 to estimate x(0.3) Use at least 5 decimal places in your calculations.

Q: If f(x) = esin(#), find f'(x)?

A: Given that         f(x) = esin x  Here we have to find f'(x).

Q: The assembly for this problem for model S is 0.4 and for model LX 0.5. Can you redo the problem with…

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Q: For the following systems of differential equations, (i) Find the general solution (ii) Plot the…

A: given X'=1011X (a) to calculate the general solution

Q: sec?xsec'y dx dy .2

A:

Q: you-y'= lot cos(2t)

A: Given that y''+y'=6tcos2t

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A: A factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula…

Q: An evergreen nursery usually sells a certain shrub after 6 years if growth and shaping. The growth…

A:

Q: 10) The function A how to find how long it will take for the bacteria to reach a total of 5000.…

A: The function 503t represents the amount of bacteria A present in a petri dish after t hours.

Q: Solve xdy = y(1+ ln y - In x)

A: We will solve the problem

Q: Solve the initial value problem. dy 6 =x (y-5), y(0) = 8 dx

A: The  given differential equation is We have to solve the given differential equation(1).Now,from(1),…

Q: y=coth 1/x

A:

Q: 2/3 Find y" 11 y = (x* + x) %3D

A:

Q: 19 K 3.

A: This question is related to Pythagoras theorem.

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: y=f(x)=75(1-4/5) , x=5 ;delta x =0.25 ; find delta y

A: The objective of the question is to find the change in y (delta y) for a given function y = f(x) =…

Q: V3x - 2 = 5 = 9 %1D 7. x +5 =7:32 Vx = 3/7 a 189 %3D 6. 8.

A:

Q: Find y' if y= - 14 3 X

A:

Q: In a factory there is a 10,000 liter water tank that contains 0.01% colorant. From the beginning (t…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. the…

Q: Differentiate. y = 4 - x5 y' =

A: Explanation of the solution is given below..

Q: 1/2 xe2x dx D 1/4 None of these 1/16 6/L 1/9

A: We will solve it by chain rule ∫uv dx = u∫vdx - ∫(u')∫vdxdx

Q: Differentiate the function P = 10e-0.8t P' = %3D

A:

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.