(군2-1) 을 + 2y3 (+ 1)°

Q: Find the general solution of the given differential equation and use it to determine how solutions…

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Q: y = C, cos 3x - C sin(-3x)

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Q: Find the differential equation whose solution is given by y = C,et*cos3x + C,e*sin3x

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Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Find the differential equation of the cubics : cy^2= x^2 ( x - a ) with a held fixed.

A: Here c is arbitrary constant and a  is fixed. So we have to find a differential equation which does…

Q: y' = 4x(2y-y)

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Q: Obtain a linear differential equation with real, constant coefficients that is satisfied 1 sin 2 1…

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Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: b Show that y = e' sinx %3D satisfies the differential equation (1 - x²)y" – xy' - y = 0. |

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Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: A solution for the differential equation is y = eux A1 sin (vx) + A2 cos (vx), where m and n are…

A: We will find out the required values.

Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Find the particular solution to the differential equation. 2y2 dx = 9x2 dy when x = 2, y = -3

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

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Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: Consider a first order differential equation. y(-x sinx + 2 cosx ) dx + x( 2 cosx)dy = 0 a) Find the…

A: Given , Differential equation is  y-xsinx+2cosxdx+x2cosxdy=0 Now ,we write the given equation of the…

Q: Solve the given differential equation by undetermined coefficients. y" + 5y = -180x2e5x Y(x) =…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find a linear homogeneous differential equation with constant coefficients so that the general…

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Q: 4. y"-2y'+y =7+ 75 sin 2.x

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Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: Find the homogeneous differential equation whose general solution is y = 3cos(x) - e3x/2 -…

A: Given the solution of a homogeneous differential equation   y = 3cos(x) - e3x/2 - 4xsin(2x) Find the…

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

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Q: Give the detailed solution of this differential equation using 1st order and 2nd order 1. (y') ² +…

A: This is a problem of differential equation.

Q: y = 2 -[(1+y(t))sin tdt.

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Q: Write down a linear homogenous differential equation (with the smallest order and constant…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: x³y" + 3x?y" = 2x +1

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Q: . Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)+…

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Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² +…

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Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: y = C1e2" sen(x)+ C2e²" cos(x) +x² + C3x + C4.

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Q: y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: Solve the first order differential equation using any acceptable method. sin(x) dy/dx+(cos(x))y=0,…

A: We have given First Order Differential Equation,

Q: Find the homogeneous linear differential equation whose solution is y=-e^(3x/2)-4x sin⁡2x.

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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Q: The particular solution of the differential equation y y- 2y = sin3x is: y(x) =Ce3x+Ce3O…

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