Solve for equation of the curve that satisfies the differential equation and that passes through the point (1, -1). (2r+2y+4) dr+ (3r + 3y+7)dy=0 Introduce substitutions that would simplify the expression for easier analysis. Make sure the solutions you will show are clear, complete, systematic, and logical.

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A: Given differential equation, 1-t2dy+ty-y+3dt=0 Used formulas, ∫1xdx=lnx

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A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

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A: Topic:- solution of differential equations

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

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Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

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A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: 14.) x = C,coswt + C2sinwt; w is a parameter, not to be eliminated

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Q: Find the solution of the given Differential Differential Equation using any method. make sure to…

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Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: (y – c,)² + (x – c2)² = 1 %3D -

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Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: Invent a 2nd order differential equation whose general solution is -7x y = c1e + cze*. Enter your…

A: Required solution is y''+3*y'-28*y=0

Q: y" + 8y %3D 2х — 5 + 8e-2x ; у(0) — -5; у'(0) — 3; у" (0) — —4

A: The given differential equation is: y'''+8y=2x-5+8e-2x ;           y(0)=-5,  y'(0)=3,  y''(0)=-4 The…

Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

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Q: Determine whether the statement "The function y = 0 is always a solution of a differential equation…

A: Here the given statement is The function y=0 is always a solution of a differential…

Q: 3. y"-3y" +3y'-y=x-4e*

A: y'''-3y''+3y'-y=x-4ex for the homogeneous system, the auxiliary equation is  r3-3r2+3r-1=0 r-13=0…

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A: Derivatives represent the change in variable with respect to change in another variable. When the…

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

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A: Given general solution is 3x2+2y2=C.......(1) Differentiating it with respect to y…

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A: The given differential equation is dy=tanxtanydx

Q: (D² - 1)y 2 1+ex

A: In this question we have to find the solution of the differential equation.

Q: Vyy" – 1 = y'

A: Given DE is  √(yy''-1) = y'' ......(1)

Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

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Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: y' = sec x - y tanx %3D

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Q: 21

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Q: 2. Find the differential equation having the solution as the equation representing all lines with…

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Q: By using the method variation of parameters, find the general solution of the differential equation…

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Q: (D² +D-1)² y =0 ,when x = y = 0 , y' = y' = 1 , y" = -1

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Q: solve the for the general solution of the differential equation( linear homologous equation): (4D4 -…

A: Solving the equation With the aid synthetic division, it is easily seen that the auxiliary equation

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Q: Find the particular solution to the differential equation below that passes through the point…

A: y'-x=-7

Q: A bowl is removed from a pottery kiln at a temperature of 200 degrees Celsius and placed on a rack…

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