Calculate by taking 6 digits after the comma in all questions. in questions Show each step of the process and the calculations you made in detail. Do not abbreviate calculations. 2-y = 2-3e-05x ,y(0) = 1 The differential eguation given as value at the next point using the interval değerini =0.47 Calculate using the Heun method

Q: A hot bowl of soup cools according to Newton's law of cooling. Its temperature (in degrees…

A: For Initial temperature substitute t=0

Q: An angle of a triangle is measured to be 45°, with a possible relative error of 3%. How accurate is…

A: Here, θ=45orelative error=3100

Q: Find the differential (a) dy = of each function. U + 3 U-3 y = (b) y = (1+3³)-2 dy =

A: Given a) y=u+3u-3 b) y=1+r3-2

Q: Find the differential of the function. m = p5q7 dm -CL Dap + ( dp dq

A:

Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 - Find the differential dy when…

A:

Q: 15. A remote-controlled train begins moving at t = 0 seconds. Its velocity (in ft/sec) is given by…

A:

Q: Q3. Find an equat ion of the line passing throngh the point (1.2) and perpendicular to the lne 3

A: Here we are to find the equation of a line which passes through the point (1,2) and which is…

Q: Find the differential of the function. p = 7q – 6g3/2 dp =

A: Consider the function, p=7q-6q32

Q: Find the differential of the function. p = 39 - 893/2 dp =

A:

Q: lim 28 ter 83+3x2+5+1

A:

Q: 2. The displacement of a particle which moves along the x axis is given by x = (-2 + 3t)e0.51,…

A: It is given that the displacement of the particle is defined by the equation x=-2+3te-0.5t, where x…

Q: Approximate √100.3. using a linear approximation OR differentials. Round the answer to the nearest…

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.