11. Find the general solution of (x – 2y)dx – (2x + 5y)dy = 0. | x2 a. 쭉-2y + 5y2 =C b. x2 – 4y + y2 = C %3D 2 %3D x2 - 2xy – - 2xy – 5y2 = C 2 С. 2 x2 = C d.

Q: Q3 /Write Only the (Order and Degree) of the following differential equations a) (d'y/dx')24 -…

A: Use the definition of order and degree of Differential equation.

Q: 3. Show that the given equation is homogeneous. Hence, solve the initial value problem dy (x² +…

A: Answer

Q: The differential equationy2y - v3 Y* -o after using substitution y=vx will convert into separable…

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Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: (b) Use the method of complementary functions and particular solutions, to determine the general…

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Q: Correct. Solve the given initial value problem. ○ xy² + xy³ = 0 Oxy² = y³ = 1 0x²y² + y² = 3 Ⓒx²y² +…

A:

Q: 3. Find the solution of the given initial value problem. d'y 3dy dx +2y = 2x, y(0) =y'(0)= %3D dx…

A: if we do the part A then part B will also be completed, as we need solution in part A which we can…

Q: 3. Get the general solution of the differential equation (x+2y-4)dx-(2x+y-5)dy%3D0. A. (x - y + 1) =…

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Q: 2. Obtain the particular solution when x = 0 and y = 1 (2 xy + x + x*) dc + x²) dy = 0 - (1 + 4 |

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Q: 4: A:Find the solution of the initial value problem (d^2 y)/(dx^2 )+5 dy/dx+6y=0□( ) y(0)=2, And…

A: Given A. d2ydx2+5dydx+6y=0  ;  y0=2 and dydx=0 B. 2yz-3lnz=2x+5y

Q: xy²dx + e*dy = 0

A: Given differential equation is xy2dx+exdy=0

Q: the general solution to the DE xy3 dx +ex^2 dy=0 is

A: Given : xy3dx+ex2dy = 0

Q: (b) Solve the initial value problem with seperation of variables and give your solution in the form…

A: Solve differential by using variable separable method

Q: Find the Wronskian for the differential equation dy dy. +7 + 12y = 0 dx2 d.x .A -Ze-7x .B 7x .C -3x…

A:

Q: 4. Solve the initial value problem- dx dy 3x? +4x + 2 2(у-1) y(0) = 2 and state the interval in…

A: Given differential equation is : dydx=3x2+4x+22y-1 To solve the given differential equation.

Q: Find the general solution of (y + 1)dx + (4x - y) dy = 0 Show your solutions on a separate sheet of…

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions…

A:

Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

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

A:

Q: Solve the initial value problem using the method of indefinite coefficients. d'y d²y -5+4y 16x+ 20e"…

A: Given that the differential equation is d2ydx2-5dydx+4y=16x+20ex with y(0)=0, y'(0)=1. The axillary…

Q: Find the particular solution of the differential D2+4D+3x=e-3t, given that t=0, x=12 and dxdt=-2

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Q: 24. Find the particular solution that satisfies the initial condition. y'+y = 6e*, Initial…

A: The given equation is- y'+y=6ex Auxiliary equation of given equation is- D+1=0 Then, particular…

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

A:

Q: (b) Find the solution for cos(x) − (1 + x²) x − 2xy = - - with the conditions y(1) = -1, y(2) = 2…

A: Note:-  For this problem if you want general solution for this problem then please resubmit problem…

Q: Find the general solution of (x-4y)dx + (x+2y dy) = 0

A: Given

Q: 4(a)Verify that the equation y = In x – Iny is an implicit solution of the IVP, ydx = x(y + 1)dy…

A: Ans:   4a we have to verify that the equation             y=lnx-lny  is an implicit  solution  of…

Q: dy-5+4y =16x+20e" dx ; y(0) = 0, y'(0) =1 dx

A: Given differential equation d2ydx2-5dydx+4y=16x+20ex. The Auxiliary equation is…

Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

A: Firstly we will solve the given differential equation by using variable separable form then…

Q: Exercise No. 10 (D.E. with coefficient linear in two variables) Find the general / solution of the…

A: Given:   (x-4y-3)dx-(x-6y-5)dy     =0 (x-4y-3)dx+(-x+6y+5)dy=0…

Q: 2. Find the particular solution of (xy + x)dx = (x?y² + x² + y² + 1)dy satisfying the initial…

A: Using Variable Separable Method

Q: Find the solution of the initial value problem subject to the indicated initial condition in terms…

A: solution :-

Q: 4. (a) dzy Solve: dx2 + ( = 0. (b) Solve xy" + (1 – x)y' – 2(1+x)y = e-*(1 – 6x) by the method based…

A: We have, d2ydx2+dydx+dydx3=0 ..i Put dydx=v ⇒d2ydx2=dvdx Now substitute in equation i we get…

Q: Find general solution of (x − 4y − 3)dx + (−x + 6y + 5)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

A:

Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution.

Q: (b) Find the solution for cos(x)- (1+x²) – 2xy = z with the conditions d²y dx2 1+x2 y(1) = -1, y(2)…

A: According to Expert guidelines, I can solve only first question

Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

A:

Q: 6. Find the general solution of 2x(3x + y – ye-**)dx + (x² + 3y2 + e-**)dy = 0

A:

Q: (2xy +y) dx + (x²- x ) dy = 0

A: Given: (2xy+y)dx+(x2-x)dy=0, y(0)=e

Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

A:

Q: Solve the given initial-value problem. dx1 X, (t) with x, (0) = - 1 and x2(0) = - 2. X2 (t) dt 4 7 -…

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Q: 6. Find the particular solution of 2xydx + (y² – x²)dy = 0 ;where y = 2 and x =

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Q: (b) d²y dy Find the solution for cos(x) ² − (1 + x²) dx − 2xy = 12 with the conditions - dx² dx 1+x²…

A: Given cosxd2ydx2-1+x2dydx-2xy=11+x2y1=-1, y2=2, h=0.25`

Q: d²y + 9y = 2 cos(3x); y(0) = 0; y'(0) = %3D dx² 3

A: Given differential equation is The associated auxiliary equation is Complementary function of…

Q: (1 – xy)-2 dx + [y² + x²(1 – xy)¯2] dy = 0; when x = 4, y = 1.

A:

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

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

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Q: E 2.4. Determine the differential x² + y² + 2ax + 2by +

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have