XUx + yUy =0 with u(0, y) = e-y² ,du du a. (x, y) = 0 `dx'dy' XUx + yUy = 0 %3D У yields Uy х you can do some integral calculus to get Ux Uy dy yields У * yields dx dx х dy dx In(y) = In(x) + C eln(y) = eln(x)+c у %3D хес У %3 хс (-) yields x = y

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: walk through of this problem

A:

Q: 1 2x {y =—=—e² + 1. 2y'+3y=e²x {y= 7 + се 3x/2

A: We have to solve the differential equation2y' + 3y = e2x

Q: Solve following DE x^(2)y"-7xy'+16y=0

A:

Q: find a particular solution to: y''+5y'+4y=8te^(2t)

A:

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Find general solution   y’’ + 2y’+ y = 2e^-t (t)^-2

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Q: find general solutions  (x^(2) + 1) dy -xydx = 0   b) dv/dx - v = 3e^(x)

A:

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

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Q: general

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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.