The solution of dy=(6+2y)dx subject to the initial condition y=0 when x=0 is

Q: Suppose that x and y represent the amounts of two basic inputs for a production process and…

A: Suppose that x and y represent the amounts of two basic inputs for a production process   The…

Q: Dy/dx=(3x-5)(x+1);y=1 when x=-1

A: Given equation is: dydx=3x-5x+1 And the condition is: y=1 when x=-1

Q: Obtain the general solution to the equation (dy/dx)=(y/x)+5x+7

A: Given thatCompare to

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: = 5x- 14/15 dx Find the function y(x) satisfying and y( - 1) = - 7.

A: Given, dydx=5x-1415   and  y(-1) = -7

Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

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Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: (D² +1)y = sec x. %3D

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Q: (y-4x-1) dx= dy %3D

A: (6) Given differential equation is y−4x−12dx=dy....1 We have to find the solution of the given…

Q: B) find dy/dx if y= x(x-2) x²+1

A: Given Equation in 2 variablesTo find out Slope

Q: xydæ – (x² + 3y²) dy + 3y?) dy = 0

A:

Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: dx X +T 2. 3.

A: Given ∫x32x3+πdx

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: dy + (secx)у 3 dx 10 secx + taпх

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Q: 2e2x) when x=0 and y=3. dx Compute

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Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y.…

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: T/2 V1+cosx dx T/3

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: Solve dy (x + 1) + xy -x 0 dx

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Q: V1+x+y = (x+y– 1) dx

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Q: (x + 2y)dx + x dy = 0.

A: Differential equation.

Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: dy = 4x -3 and y(4) = 0. dx Find the function y(x) satisfying

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Q: Find dy/dx by differentiating implicitly if x + xy − 2x³ = 1.

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Q: Let y || dy dx = 9x-2 + 4x-¹-7. Find y if y(1) = 8.

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.