y"+y = cosecx cotx %3D

Q: use the variation-of-parameters method to solve the given differential equation. Q. y′′+y =tanx.

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Q: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0

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Q: Use separation of variables to find the general solution of the differential equation. x2 + 6yOy = 0…

A: Given query is to find solution of the differential equation provided.

Q: Solve the differential equation by variation of parameters. 1 y² + 3y + 2y = 2 + ex

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Q: Assume that the rate of change of y is proportional to y. Solve the resulting differential equation…

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Q: y=X+ Ci ex t %3D

A: Explanation of the answer is as follows

Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''+y'-3y=4sin2x

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Find a general solution to the given differential equation. Use the variation of parameters method.…

A: Given differential equation is y''+9y=sec2(3t). We will first find the general solution of the…

Q: Obtain the general solution of the given differential equation: tanydy = sin3xdx

A: The given differential equations tan2y dy=sin3x dx⇒sec2y-1 dy=143sinx-sin3x dx    As…

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

A: To Determine: solve the differential equation by variation of parameters. Given: we have a non…

Q: use the method of variation of parameters to find a particular solution of the given differential…

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Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: Assume that the rate of change in y is proportional to y. Solve the resulting differential equation…

A: Given  dydx=ky Points on the curve 3, 3 and 4, 6

Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: Solve the given differential equation by separation of variables. ds kS dr

A: We want to solve given differential equation

Q: 4 y"+y = sectx %3D

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Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae?x+Be7*

A: We have to form differential equations

Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: Use bernoullis equation to determine the general solution to the differential equation (y^2-y)dx +…

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Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: Solve the given differential equation by separation of var X- dx xdy = 2y

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Q: use the method of variation of parameters to find a particular solution of the given differential…

A: solution:-  The given differential equation is  y''+4y=cos3x The auxiliary equation of above…

Q: Find the general solution of the differential equation using any method          y′ = √( 1 − cos )

A: Find the generla solution of given differential equation y'=1- cos x

Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: Solve the differential equation by variation of parameters. y" + y = sec(8) tan(0) y(8) =

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Q: y" + 4y' = sec 2x

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Q: dy :-y = xy2 dx

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Q: Use the method of separation of variables to find the general solution to the following differential…

A: Given: x'=x Here x is the dependent variable. Let us take t as the independent variable. Then the…

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t)

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Q: Obtain the general solution of the given Differential Equation using the Method of Variation of…

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: find the Integrating Factor and Get the General solution of the given differential equation

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Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: O y"+y= secx cosecx %3D

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Q: use the method of variation of parameters to determine the general solution of the given…

A: First calculate the complementary function.

Q: Find the Differential equation by eliminating the arbitrary constant x2 - y2 = a2

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Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Given,         dydx=x5y

Q: 2. y' + p(x)y = q(x)

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Q: Use the method of variation of parameters to find the general solution of the given differential…

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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.