A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's law of cooling so that its temperature at time t is given by T=65+145e-0.05t 'where t is measured in minutes and T is in OF. What is the initial temperature of the soup? (А) 210 в) 200 c) 290 D) 250

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: Find the series solu tion to the differential equation x?y" + (1 + 3x)y' + y = 0. A) y = a,(x +÷x² -…

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Q: e) xy' + y = 5x

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Q: Consider the following. Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920…

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Q: dy/dx% 3 sec 2xsec3y

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Q: dy dr + y = x

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Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

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Q: Linear Alegbra & Differential equations

A: Step 1:Step 2:Step 3: Step 4:

Q: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to a constant temperature.…

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Q: Given the differential equation dy = 4x - 4y with initial condition that y(3) = 0.1. dx Use Euler's…

A: Answer given below in great details.

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Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) = %3D

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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.