y dx + 3y2x dy = dy; x(0) = 1

Q: Solve the given differential equation d'y dy +2x- -12y= x' (In x) .2 dx dx

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Q: Find the particular solution to the differential equation. x?e?y dy = (x3 + 2) dx when x = 2, y = 0

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Q: Solve the non-homogeneous differential equation dy x + y + 4 dx 2х + 2у + 4

A: It is non homogeneous differential equation.

Q: Find the solution of the following differential equation: dy = -xy, where y(0) = 2. %3D dx

A: The given differntial equation is: dydx=-xy...(1) with the initial condition y(0)=2

Q: хур? xyp? + (x + 3y)p + 3 = 0 what is the general solution of the differential dy = d dx equation?

A: The given differential equation is:  xyp2+x+3yp+3=0 The above equation can be factored into:…

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the…

Q: Solve the following linear differential equations. dy (a) x=x+y dx dy (b) x =2y+3x dx

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Q: The following differential equation, y? dx + (2æ – 3y)dy = 0 is a separable equation.

A: We have y2dx+2x-3ydy=0 We need to determine if this is a separable differential equation or not.  A…

Q: (b)Solve the differential equation : 1+y? %3D 2+3x dy with the initial condition y () = 0. %D dx

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Q: (x? + у?) dx %3D 2ху dy 2хy dy

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Q: Solve the Attached differential equations?

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Q: The degree of the differential equation dx2 1+2) = 0 is %3D dx. a. 2 b. 1 C 3 9 P

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The solution of the following second order differential equation: d'y(x) dy + x? y(x) = 0, is da dx?

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Q: y dx + (xy - 1) dy = 0 %3D |

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 3. (y + 1)dæ +(2 – x)dy = 0 Is the differential equation complete? If not, make it complete.

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Q: dy – xy = x, y(0) = 2 ху —D У (0) %3D2 dx

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Q: Solve the non-linear differential equation (- esc" y) dy + 2x cot y = x³ , given that y(0) = 9.

A: We have to solve given problem:

Q: Find the general solution to the differential equation y" – 2y' + 2y = e' sec(t), - <t < 2

A: y''-2y'+2y=etsec(t) , -π3&lt;t&lt;π2D2-2D+2y = etsectThe auxiliary equation is m2-2m+2=0 ⇒ m =…

Q: xy +x)dx = (x*y? +x? +y? +1)dy

A: Note: As you have not given the initial conditions particular solution of the differential equation…

Q: Q1) A: Solve the differential equation: dy y = x.cos? Y dx

A: First order nonlinear ordinary differential equation. Substitute y=vx

Q: 2y(x? – y + x)dx + (x² – 2y)dy = 0

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Q: Consider the differential equation d'y dy dx² dx -6y = 0. Enter either of the solutions of the…

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Q: xy dx + (y +1) e* dy = 0 Cy +1) e -*

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Q: Solve the differential equations x dy/dx + y = ex, x &gt; 0

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Q: QI- Find the solution of the following differential equation d?y dy + 2 dx? 4x +y = 0

A: Given a differential equation 4xd²y/dx² + 2dy/dx + y = 0

Q: dy V1-y² dx ? 1-x² |

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Q: Solve the linear Differential equation dy + (z sin a + cos x)y = 2 da

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Q: Solve for the differential equations. y = (2y – |dy x²y² + 1, \1+x?y2 + 2x ) dx

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Q: Determine whether y = e = e2= 3e is a solution to the differential equation dy 2y = 0. dz? dr

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Q: Solve the following differential equations: dy -y =Vx? +y² . dx dy

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Q: Given y = x is the solution of the differential equation d²y 4x + 4y = 0 dx2 dy - dx

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Q: Find the solution to the differential equation dy/dx =√xy, y(1) = 2

A: topic - differential equations

Q: What is the degree of the differential equation d'y + 5 y de d'y dy = 0 ? dx 6 O 2 O 4

A: Solution:-

Q: Solve the differential equation dy V1+ x2 + y? + x?y+ xy %3D dx

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Q: verify that the function y=e^-3x is a solution to the differential equation d^2y/dx^2+dy/dx-6y=0?

A: To verify the function y=e-3x is a solution of the differential equations d2ydx2+dydx-6y=0.  That is…

Q: What is the order of the differential equation? d³y dx3 4 + 6y = 3 dx, 1 O 2 4

A: Solution

Q: Find the solution of the Differential Equation? y" +y = tan(t) + e(3t) - 1

A: The given equation is y''+y=tan t +e3t-1 the auxiliary equation is y''+y=0D2+1=0D=±-1=±i the roots…

Q: dy Solve the non-homogeneous differential equation dx x + y + 3 2x + 2y + 4

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Q: Find the differential equation whose solutions correspond to the following equation a. y= Cje*+ Czex…

A: Compare the solution of second degree equation whose two roots are distinct. y=C1em1x+C2em2x

Q: Find the general solution of the differential equation g below: У(х — бу) dx — х (2х — 9у) dy %3D 0

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Q: y?dx + x(x + y)dy = 0 %3D

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Q: dy Find the solution of the differential equation y – x=x+ y• dy dx dx

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Q: Given the differential equation (ye *– sin x) dx – (e¬*+2y)dy=0, what is the value of f'(y)? A – 2y…

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Q: The particular solution of the differential equation x?dy + y?dx = xy(xdy - ydx)when x = 1; y = 1

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Q: d²y 4. dx² 4 + y = 0,y(0) =" (0) = 4 +у %3D 0,у (0) dx dx

A: Suppose the solution of the form is y=erx .find y',y'' .…

Q: 2y ycos (xy)| dx + [2xe?y (xy) + 2y dy = 0 xcos -

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Q: The order of the differential equation: d'y + S ydx = sin x is_ dx4 d°y O 4 O 10 O 9 O 16

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