Find general solution of DE by both methods from 2.9 (independent variable missing and dependent variable missing). Show that your answer is the same: y" – 6 y' - 7 y = 0 , y ( 0 ) = 1, y'(0) = 3.

Q: 13. 2x + 2yy' = 0

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Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: 3 23x-1 rewrite y=

A: Given: y=3x-13. To find: y' Solution: We know that, xn=x1n Therefore, given equation can be…

Q: 12. y' = x² - 2xy + y²

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Q: Find y'. x3 +yở = 8£y

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Q: The general solution of y' x2 can be written in the form

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Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Find the general solution af the equation, y' = x(1- y).

A:

Q: Find y'" for y=eto y" =D + 11x.

A: Given y=ex3+11x

Q: Choose the correct answer If x2 + y2 = 9, then y'=...  -y/x  y/x  -x/y  x/y

A: We have to find y'

Q: 3. y = 1 √x Calculate y'. 1 V3

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Q: y" – y' – 30y = 0 0) - 1, у 10) --4

A: The general form of a second-order homogenous linear differential equation is given by…

Q: Find a general solution of the equation: 3x?y" + 2xy' – 2y = 0

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Q: Solve for y: y'=7y²², y = 3 when x = 1

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Q: If y' = and y (In 3) = 3, find y.

A: Here the differential equation is y'=exy2, with initial condition y(ln(3))=3.

Q: If xy? - y3 = 5, find y'. y' =

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Q: y' = (1 − x²)²; y(15) = 149,645

A: differential equation

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: Answer: y = -(e-x + c)/(1 + x2)

A: Given differential equation is,

Q: 3. Find all of the equation. (а) у —х (c) y' = x Inx (e) y" = 2xe*

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: use Suler thod to solve هراد5 me

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Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: Evaluate and simplify y'. x - 9x y= 7x+4

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

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Q: y' + 3y = 8

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Q: j'+7y'+12y=2le", y(0); (0)=,"'(0)= -10. 10)=-10 .

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.