Solve the following initial value problem: dy y(0) = 8 %3D dx Then, find y(100) to the nearest thousandth (3 decimal places). Put y(100) in the answer box.

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A: Given that exdx+extaby+2sec ydy=0, y(1)=2. This is of the form Mdx+Ndy=0. M=exMy=0 And…

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Q: Solve the initial value problem dy/dx= e^x+4x-3 where y=5 when x=0

A: Given dydx=ex+4x-3and when x = 0 then y = 5

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Q: Find dy/dx for the following       y=ln(x2 +1) 5

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Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: B- Solve one of the following initial value problems for y as a function of x: 2. = - 1, y(0) = 1 dx

A: Given initial value problem dydx=1x2+1 -1      , y0=1

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A: We have to solve the initial-value problem: dydx=5x Solving by variable separable method,…

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Q: Solve the initial value problem.

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Q: If the function f (x) solves the initial value problem dy = (x +1)-1/2 – T · cos(T2) y(3) = 2 , %3D…

A: Given: dydx=x+1-12-π·cosπx Now separate the variables; dy=x+1-12-π·cosπxdx Now taking integral on…

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: Solve the following initial value problem: dy y(0) = 8 %3D dx Then, find y(10) to the nearest…

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Q: Solve the initial value problem given below. dy – 16xy and y = -2 when x = -4 %3D | dx

A: Given: dydx=-16xy, and y=-2 when x=-4 i.e. y-4=-2. To Solve: The given initial value problem.

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A: To determine the solution of the initial value differential equation.

Q: Solve the initial-value problem. dy for x20 with y(0) = 2 5 dx The solution to the initial-value…

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A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: Solve the initial-value problem. (dy)/(dx) = (5)/√(x), for x ≥ 1 with y(4) = 4 The solution to the…

A: we have the differential equation  dydx=5x with y(4) = 4 having the initial value problem

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A: Given:

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Q: dy 6. Solve the initial value problem xy², y(0) = –1. dx %3D

A: Using seperation of variables.

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Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 1

A: Sol:- ydx+x-9dy = 0 , y10=1It can be rewritten as :-ydx=-(x-9)dy

Q: Solve the initial value problem dy (x – 1) = (x + 1)(y – 2), given y(2) = 3. dx |3D

A: According to our company policy, we are supposed to answer the only first question. In the first…

Q: Solve one of the following initial value problems for y as a function of x: 2. - 1, y(0) = 1 %3D dx

A: The given initial value problem is                  dydx=1x2+1-1,  y0=1 ........ (i) We have to…

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A: To solve the initial value problem.

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Q: dy 6. Solve the initial value problem y(0) = –2. %3D - dx

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Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x =…

A: dydx=e-3x and y=79 whrn x=0

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Q: dy Solve the Initial Value Problem: X- dx +y=x°y* subject to y(1)= 2.

A: Given: xdydx+y=x3y4 , y(1)=2 rewrite given equation dydx+yx=x2y4      Bernouli's…

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.