6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y - 6 In(7 - x - 2y) C. А. = C = C x - y - 6 In(7 - x - 2y) x + y + 6 In(7 - x - 2y) D. В. = C = C

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 +…

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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: 3. Find the general solution for y" – 10y' + 25y = 0 s.t y(0) = 1, y(1) = 0

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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: 12. A particular solution of y"– 2y'-8y = (x2+2)e-2 +4xe4z will have the form %3D = (Cx² + Dx +…

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Q: 1. Find the general solution of * y (x² v (x² + y² ) dx + x (3x² – 5y² ) dy = 0

A: Given differential equation, yx2+y2dx+x3x2-5y2dy=0 To find the general solution of the differential…

Q: Get the general solution of the DE (x+2y-4)dx+(2x+y-5)dy=0 a.) (x-y+1)3=C(x-y-3) b.)…

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Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

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

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Q: Find the general solution of (xy + 4x)y = 5y² + 4xy². a) Oy + 12y- = -5 In |x| – 16x + C b) Oy - 4y-…

A: First order non linear ordinary differential equation.

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

A: Given : xy3dx+ex2dy = 0

Q: What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy= 0 ? A 2x°y3 -3x2= Cx? B 2x³y5-3x² = c ©…

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

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Q: 5. Find the particular solution of (x + y – 3)dx + (x +y + 5) dy = 0 when x = 1, y= 0. a. (x + y +…

A: Simplify the given equation. (x+y-3)dx+(x+y+5)dy=0⇒(x+y+5)dy=-(x+y-3)dx⇒dydx=-(x+y-3)(x+y+5)…

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

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Q: Find the general solution of dy/dx = (x - 4) / (6 - 5x + x^2). O y = 2 In(x - 2) - In (x - 3) + C y…

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Q: 1. (a) Show that (x) x² is an explicit solution to dy X- = 2y dx on the interval (-∞, ∞). (b) Show…

A: An explicit solution is any solution that is given in the form y=y(x)

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)…

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Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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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: 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…

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Q: 9. Find the general solution of y(2x + y²)dx + x(y² – x)dy = 0

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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: Solve for the general solution * (4xy+3y – x) dx + x (x + 2y) dy = 0 x' (4xy² + 4y – x) = c x²…

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

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

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

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Q: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

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

A:

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: The solution of * x² +3y² dy/dx= 2ху In y=In (1+y^2/x^2)+C none of each other O x= (1+y^2/x^2)+C In…

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Q: Prove that the general solution to L(y)=(x) is y=Yh+Yp

A: Definitions:  yh is a homogeneous solution so, for any yh, Lyh=0.  yp is a particular solution so,…

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

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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…

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

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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: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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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: 4. Are y1 (x) = e*and y2(x) = x + 1 solutions of the D.E. xy" – (x + 1)y' +y = x2. Are y1(x)…

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

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Q: Solve the general solution of the given DE * dy = (-5x + y)² – 4 dx 3 (1+ ce6x ) 3 (1 – ce6*) y = 5x…

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

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

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