Solve dy dy dr? + y = 2sin(3r) dr using the method of undetermined coefficient.

Q: Solve da dy zdz y+x a² – 2xy– y²

A: We are given with dxy-x = dyy+x = z dzx2-2xy-y2 From first two equations we get dxy-x = dyy+x(y+x)dx…

Q: Solve DE  P2-70+12,where p=dy/dx

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Q: Solve the İVP. ty't 3g= Sint +. y(2) = 1

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Q: dx 2. S. 3+Vx+2

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

Q: d'y 5dy -3y = 0 dx 2- 2. Determine the general solution of

A: given: the differential equation is: 2d2ydx2+5dydx-3y=0

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tant - "/2<t <"/2

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Q: (x+xy²)dxte*, ydy=D0

A: Given: x+xy2dx+ex2ydy=0 ⇒x1+y2dx+ex2ydy=0 ⇒ex2ydy=-x1+y2dx ⇒y1+y2dy=-xex2dx

Q: Solve by Exact method ydx- (2xy +y ²)dy so

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Q: Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

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Q: A. Solve the following DE by using exact equation method: y = x- y,

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: A. Solve the following DE by using exact equation method: y = x - y,

A: The given differential equation is dydx=x-y ⇒x-ydx-dy=0 ⇒M=x-y and N=-1⇒∂M∂y=-1 and ∂N∂x=0⇒∂M∂y≠∂N∂x…

Q: Solve this DE (D2+2D+2)y = e-xcscx

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Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: Solve the equation (2xy – 3x^2)dx + (x^2 + y)dy = 0.

A: Please see the answer below

Q: Solve the equations by the method of undeterminedcoefficients

A: First, consider the homogeneous case d2ydx2+7dydx=0. We solve the auxiliary equation as…

Q: Solve the DE using the method of variation of parameters: x²y" – 4xy' + 6y =30x³, y(1) =5 , y’(1) =5

A: homogeneous system is  compare this equation with  so here we have

Q: Solve the equation (6x+y2)dx+y(2x−3y)dy=0.

A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

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Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: solve the D. y +8y" +16Y

A: We have to solve the differential equation.                                  y''''+8y''+16y=0 can…

Q: Solve: dy dr = y +e*y?

A: The given differential equation is dydx=y+exy2. Rewrite the differential equation as,…

Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: V16-y? /32–x²–y² V 22 dz dx dy

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Q: Solve 4y"+ 36 y = cosec 3x by using the method of variation of parameter.

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Q: Show that y=x?lInx solves the equation x?y"-3xy'+4y=0, x>0

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Q: Solve (D'+4D+4)y-e*sin2x.

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: solve the folloing equitons (x2 – 4xy – 2y?) dx + (y2 + 4xy − 2x2) dy = 0 -

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Q: Find the solution 7. (x + 4y³)dy - ydx = 0

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Q: solve using the appropriate method. y + 3y − 1/ t = t + 2

A: y+3y-1t=t+2y+3y-1t-y+3y=t+2-y+3ySimplify: -1t=t+2-4yMultiply t: -1tt=tt+2t-4ytSimplify: -1=t2+2t-4yt

Q: d?y 2x + 2y = x*e* dx2

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Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

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Q: a) Find the general solution of the equation d'y dy dr? + 3e* dr by using the method of undetermined…

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Q: Solve the @iven dif frerenticul equation uning the variables method of seperatio n of dy 4y+3

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Q: Solve the 2 dy JX Following initial value proble x-2x 4 + T XI 4

A: We have to solve the given initial value problem.

Q: B. Homogeneous DE with Constant Coefficients - Auxiliary Equations (Repeated Roots) 2. (D4 + 6D3 +…

A: Given that: D4+6D3+9D2y=0  . Therefore, D4+6D3+9D2=0or, D2D2+6D+9=0 So, the above equation should…

Q: Qe! Solve! y? -y?+2g = Sin 3 X using D-opevator Method

A: Given differential equation is y3−y2+2y=sin3x It can be written as D3−D2+2Dy=sin3x Write the…

Q: Solve the equation (3y4 + 1) dx + 4xy3 dy

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Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: Solve the DE 3y2 Y +x-1y3 =x*. dx

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Q: Solve the equation x*ydx+(y-x³ )dy = (

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Q: d²y 7. Solve the equation dx2 dy 4 8e4x 10. %3D dx

A: Use auxiliary equation to find zeros and find complementary function CF. Find Particular integral PI…

Q: Solve (D² – 3D – 4) y = 16x – 50 cos (2x)

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Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

Q: 5T+yZ dn-y(1t2?)cly=. solve diffren

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: ty" – (t+ 1)y' + y = t?

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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