You can find the temperature inside your refrigerator without putting a thermometer inside. Take a can of soda from the refrigerator. Let T be the temperature reading of the soda after t hours. If T(0.5) = 45 °F , T(1) = 55 °F , and the room temperature is 70 °F , what is the temperature inside the refrigerator? A 28.3 B 23.8 12.25 11.1

Q: 1 dr 3

A:

Q: Find the general solution for y" + 4y = sin(2t)

A: Differential equation

Q: Differential Equation Solve xdy + (3x-2y)dx = 0 in two ways.

A: Given:- xdy + (3x-2y)dx = 0 To find:- General solution of given differential equation by two methods

Q: Define exact differential equation

A:

Q: 1. Consider the differential equation (which we saw on the wk 1 test) dy %3D У (у + 1)?(2 —у) dt…

A:

Q: Sin () dy %3D XCSC

A: Given sinyxdydx-1=yx cscyx, y(1)=0 Dividing both sides by  sinyx dydx-1sinyx=yx cscyx1sinyx…

Q: dr ᎾᏢ sin 0 - r- cos e eo +- cos = 0

A:

Q: EXaCT DIFFERENTIAL EQUaTion SOL ve THE FOLLOW ING UsinG LON6 ano SHORT METHOD (3x²y-6x)dx…

A: Given differential equation, 3x2y-6xdx+x3+2ydy=0

Q: A differential equation which involves derivatives with respect to multiple variables is ca A…

A: We have to find out

Q: Differential Equations Exact Differential Equation (1+y?)dx + (x²y +y)¢y = 0

A:

Q: The indicial equation for the differential equation 2xy" + y + xy = 0 is 2c² - 1 = 0. True False

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Q: Find the derivative of the trigonometric function. y = 8x cos(x) + x² sin(x) y' =

A: The given function is: y=8xcosx+x7sinx   As we know that; The Sum/difference rule: f±g'=f'±g' The…

Q: dy he differential equation (y) + csc %3D dt

A: Using separation of variables.

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Cihe gen xy = -2y Give the explicit form of the solution, writing y in terms of x, simplifying as…

A: firstly apply variable separable and then integrate to find general solution ...

Q: et y" – 2y' + y = 1+ x2 -here y' = ) dy dx

A:

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: A differential Equation is a type of function

A: A differential equation is an equation that relates one or more functions and their derivatives. The…

Q: solve the differential equation Lysiny 3

A: Introduction: A first-order differential equation of the form M(x,y)dx+N(x,y)=0 is known as the…

Q: (D3-D²)y =0

A:

Q: Please use Differential equation or intergral equation to solve thanks

A: Done.Explanation:Done

Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: y': 2 -y?) *

A: We can solve the given differential equation by using the variable separable method.

Q: Differential Equations Exact Differential Equation (w³ + wz? – z)dw +(z³ + w°z – w)dz =

A:

Q: A man with a parachute jumps at a great height from an airplane moving horizontally. After 10…

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Q: Using the concept of differential approximates the value of sqrt(85)

A: Given value is 85 We have to find its approximate value using differential approximation

Q: Prove that Ho Ge) =(-1) e" ď e dx 2. 2.

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Q: show That Cie %3D dolution TO the iFFere nTlal equation written dP dt P(I-P) wriTten ac

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Q: Use the Intersection Method to find and classify equilibrium for the differential equation

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Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

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Q: ot tre eqiatan (X-xy+y?)g'=xy Find the Solutun Rtcon which passes thirongh the point (2,1).

A: The equation is, (x2xy+y2)y'=xy               dydx=xy(x2xy+y2) Take y=vxdiff with respect to x,…

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.