3. Find the general solutions of, x+y dx x-y, a.

Q: 1) Determine the general solution of 2xdy = (x* + y*)dx %3D

A: The differential equation is 2xdy=x4+y4dx.

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

A:

Q: Obtain the particular solutions of the following: (y-Vr² + y² \dx– xdy =0, y(0)=1 a.

A: Solution is given below:

Q: use the Lagrangian method to solve:   U=(x+3)(y+5) given 30=3x+2y

A: Given the relation 30=3x+2y. We need to minimize the value of U = (x+3)(y+5). Substitute the value…

Q: (1) 3 dy + y = dx 3 Find the general solution to: 1. -

A:

Q: Find the general solution of: y(x°+x*)dx - x(x³+ y-)dy = 0

A:

Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

A:

Q: 3. Find the complete solution of 2xdy – y(x + 1)dx + 6y³dx = 0

A:

Q: Determine the General Solution of ye2x dx = ( 4+e2x %3D ) dy

A:

Q: Part III Obtain the particular solutions of the following: c. y°dx + (x* +3xy + 4y* )dy = 0, y(2)=1

A:

Q: I. Find the general solution of the following: 1. dx dy -2x + 3x² dy 2. dx = 3e-2x 3. (x² + 5)dx –…

A: Differential equation problem....

Q: Give the general solution of xy²dy = (x³ + y³)dx in explicit form.

A: Given differential equation is  which is homogeneous differential equation.

Q: - Find the solution of the equation 3U, -5U, = 0 satisfying the condition U(0, y) = sin y

A: We have to find the solution to the given equation.

Q: Find the particular solution of -4y = 3x – 1 given that when x=0, y=0 and d2x dx dx II

A:

Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

A:

Q: The general solution of y''+4y'= 0 is ° y = C, + C,x+ C,e* ° y = C,e* + C,e²* + C;e2* -4x y = C,e* +…

A:

Q: Þ(x) = x² is an explicit solution to dy 2y dx ylgn ihi

A:

Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

A:

Q: y" + y" = 3

A: Solving the given third order differential equation

Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: Find the general Solution of DES x y = xy +y

A: Given:    x2y' = xy + y2

Q: 1- , L, v² e*dydx 2- S S マーーー ydxdzdy a>0

A: Explanation of the solution is given below...

Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

A:

Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

A:

Q: Exercise 7 Find the general solution 1. 6y'dx - x(2x + y)dy = 0

A:

Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

A:

Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

A:

Q: dy + ydx %3D = 3x²y?dx,

A:

Q: 3. Find the general solutions of, dy _ x+ y dx х-у, a.

A:

Q: In problems  determine by inspection at least two solutions of the   1. x dy/dx =2y,  y(0)=0

A: Given: xdydx=2y, y0=0 for solving given differential equation we will use variable separable method

Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: Find the general solution of the equation: anu dyn = 0.

A: Given equation is ∂nu∂yn=0   To Find: General solution of above equation.

Q: Part III Obtain the particular solutions of the following: b. xcos y |dx+ xdy=0, y(1)=

A: Explanation of the answer is as follows

Q: Apply the appropriate method to solve the Cauchy-Euler equation 2x²y "+ 5xy'+ y = x² – x

A:

Q: 3. Find the general solutions of, dy_x+y dx х-у, а.

A: given differential equation is  dydx=x+yx-y

Q: 3. Find the general solution of dy = y(xy – 1). d:r

A:

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D. Answer:

A:

Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

A:

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

A:

Q: 1. Find the general solution of: dx dy _y+xy²+x² x+x²y+y³

A:

Q: Show that xy – 2 = cxy is a solution of (x² + y2 – x)dx – ydy = 0.

A: Given  x2+y2-xdx-ydy=0 dydx=x2+y2-xy

Q: 2 = 3x° (7 + y²) dx

A: Here equation is separable so w separate them and apply integration.

Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

A:

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

A:

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.