5. Find the particular solution of (x + y – 3)dx + (x +y + 5) dy = 0 when x = 1, y= 0. a. (x + y + 5)² = 16x + 20 b. (х + у — 3)2 3D 16х — 20 с. (х + у — 3)3 — d. (x + у + 5)2 3D 16х — 20 16x + 20

Q: 2 2. Find the general solution of x(y + 1) dx + y´(x y? + 2x – 1) dy = 0 2x x2 + y? x2 А. 2ln[(y +…

A:

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: Find two linearly independent solutions of 2r2y"- xy' + (-4x + 1)y = 0, x > 0 of the form Y1 = r (1+…

A: Given fill in the blanks have already some data, it is wrong as per given question. I solved it, and…

Q: Find the particular solution of 9. 12+ 4y = 3x – 1 given that when x=0, y=0 and dx

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Q: Find the general solution: x(x^3-xy^2+2y^3 )dy-y(x^3+2y^3 )dx=0 O A. xy^2 In [y+x^3-y^3=cxy^2 )] B.…

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Q: 2. Find the general solution of x*v + 1) dx + y'(x - 1) dy = 0 x2 - y? + 2x - 2y + А. 2ln[(y + 1)/(x…

A: No option is matching the final answer. All the given four options are incorrect. The correct answer…

Q: 6. Using the method of variation of parameters, what is the form of a particular solution of (D³…

A: The given DE is: (D3-4D)y=x-3e2x Suppose it has y1, y2, y3 are solutions to the associated…

Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

A:

Q: S. Apply Improved Euler Method to -2x-3y,y(0)-4:x [0,1) h-02digits (0.0) = 0.2)= 0.4)D 0.6)= x(0.8)D…

A: The given question can be solved as shown in step2.

Q: Find the general solution of y""- 6y"+21y'- 26y=0 3x A y=c,e"+c,e cos 2x +c,e"sin 2x 2x В…

A:

Q: 6. Find the general solution of (x+ 2y- 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y -…

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Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

A:

Q: 6. Using the method of variation of parameters, what is the form of a particular solution of (D³…

A: Here, the characteristic equation is: D3-4D=0 The roots of the characteristic equations are:…

Q: Which of the following is the general solution to the DE (2x-y)dx+ (4x +y-6)dy 0? A. (x+2y+1)…

A: We have to solve given differential equation: given DE is(2x-y)dx+(4x+y-6)dy=0 ---(1)we can write…

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: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

A:

Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

A:

Q: 28.If the Wronskian of any two solutions of y″ + p(t) y′ + q(t) y = 0 is constant, what does this…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 5. Find the particular solution of D' + 3D° + 2D° ]y=0 provided that when x = 0, y = 0, y' = 4, y" =…

A:

Q: 16. Determine the general solution of y" - 2y' + 4y = 4 a. y = e*(c1cos V3x + c2 sin v3x) + 1 b. y =…

A: Given differential equation is y''-2y'+4y=4 find the general solution of the given DE

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

A:

Q: 2. Obtain the general solution of the following equations: (i) x²uxx + 2xyuxy + y²uyy + xyux + y² uy…

A: If you want I solved other option please post it again

Q: 11. Find the general solution of (x – 2y)dx – (2x + 5y)dy = 0. | x2 a. 쭉-2y + 5y2 =C b. x2 – 4y + y2…

A:

Q: 9. Find the general solution of (2xy - y+ y) dx + (3x- 4xy + 3x) dy = 0 A. x²y(x - y + 1) = C В. ху…

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Q: Use the Gaussian Elimination method to solve: 1x + 2y +3z = 14 2x + 1y +3z = 13 2x + 3y + 1z = 11…

A: The given equations are: 1x+2y+3z=142x+1y+3z=132x+3y+1z=11 We need to solve the given system of…

Q: Find the general solution of y'"''- 6y'"+2ly'– 26y=0 A y=c,e-+cze* cos 2x + c,e*sin 2r ® y=c,e+c,e…

A:

Q: 2 Find the solution. ху'+ ху %3D 1-у, у(1) %3D 0 A y = x-'(1 – el-') B x = y-'(1 + el-) В © 2y =…

A: Solution of the differential equation

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

A:

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

A:

Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: Find a general solution for the Cauchy Euler equation t2y''+7ty'+9y=0 if t>0.

A:

Q: Find the solution of Uy = 36 ut + 10 u if Ux U₂ (x,0) = 3e-2t using the method of separation of…

A: Given partial differential equation is ux=36ut+10u____(1) and given condition isux(x,0)=3e-2x We…

Q: 5. Find the general solution of (x + y + 1) dx + (x – 3y - 7) dy = 0 %3D x? - 3y? + 2xy + 2x x? +…

A: To find the general solution of the given differential equation

Q: This is the solution of y" + 4y' + 3y = 8 (t – 2) , y (0) = 0, y' (0) = 0 O y = [e-t-2) –e-8(t-2)] U…

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Q: Determine the particular solution. v" – 2y' + 5y = 0; v(n) = 1,v'(n) = 0 Oy- e(0.04cos(2x) -…

A:

Q: 6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y…

A: Answer is option D)

Q: 12. Obtain the general solution of (D4 + 16D² + 63)y = 0 a. y = c,cos 7x + c2sin v7x + C3 cos 3x +…

A: D4+16D2+63y=0D4+0D3+16D2+0D+63y=0auxillary equation is m4+0m3+16m+0m+63=0Put…

Q: Find the general solution of xy' (2y – 1) = y(1 – x) a. In(xy) = 2(x – y) + c c. In(xy) = 2y – x + c…

A:

Q: Determine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2…

A: Simply put z= 2x-3y and solve .

Q: 12. Obtain the general solution of (D4 + 16D² + 63)y = 0 a. y = c,cos v7x + c2sin /7x + c3 cos 3x +…

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Q: 11. Solve the following using Gaussian elimination: a) 3x +5y=8 2x + 3y=7 b) 2x + 3y + z=1 3x – y -…

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Q: 2. Find the Wronskian for the given Y" +5Y +4Y = 0, Where two solutions are y, = e-4t , and y2 = e-t…

A: We use the definition

Q: 2. Find the general solution of x2 (y + 1) dx + y?(x- 1) dy = 0 x2 - y2 + 2x - 2y + A. 2ln[(y +…

A: Given that: x2(y+1)dx+y2(x-1)dy=0

Q: Q19) The general solution of 2x2y" + 3xy' - 15y = 0, is: a) y(x) = ₂x² + ₂x³ b) y(x) = C₁x + c₂x-3…

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 y"'- 6y"+21y'- 26y=0 A y=c,e+c,e²* cos 3x + c,e²"sin 3x B y=c,e¯ª+ '…

A: The given differential equation is: y'''-6y''+21y'-26y=0 The auxiliary equation of the differential…

Q: A second order Caushy - Euler equation having a solution y(x) = x=²cos(3Inx) is Ox²y" +5xy' + 4y = 0…

A:

Q: 2. Find the general solution of x*(y + 1) dx + y (x – 1) dy = 0 2y + 2ln[(y + 1)/(x – 1)] = C x² +…

A: