dy xy+2y-x-2 dx xy-3y+x – 3 Solve the equation %3D

Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

A:

Q: (x-1)y'' - xy' + y = 0  x>0 a solution of the equation y1(x)=ex  second solution =?

A:

Q: dy , 2xy - (1-x*)' . dx 1-x 2ху Solve

A:

Q: а) ty" + (1 - 20)у + (t - 1)у %3D 0 y1 = e' |

A:

Q: X dy -x y=2y Solve %3D

A: Given differential equation is                                                      xdydx-x2y=2y…

Q: The general solution of y" + y = sec³ x

A:

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0 %3D

A: 2x+62y2+3dx+4yx2+3x+2dy=0

Q: solution of the diffe d x; y(1) = 0, d:

A:

Q: ~3 ~3 f (x) dx 2 ve x f'(x) dx = 1 %3D f(3) =? (write your solutions in detail and step by step)

A: We use the formula for integration by part

Q: xe5x dx (5x-1) i 51 e³z B.5 (5x-1)+c C. 5x+ E

A: We will solve the problem.

Q: (6x + y2) dx + y(2x - 3y) dy = 0. evaluate

A: The given differential equation is                                    (6x+y2)dx+y(2x-3y)=0

Q: (x² + b²)dy = 2x[(x² + b?)² + 3y]dx; y(b) = 4b*;

A:

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

A:

Q: ay (2х-10у), +y = 0 dx Solve

A:

Q: Find the solution of the difference equation 2 (2x^2 + y^2)dx - xydy = 0.

A: Given differential equation 2 (2x^2 + y^2)dx - xydy = 0. Now we will find the solution of…

Q: Solve the equation (y^2- 2хy+6x)dx-(x^2-2ху+2)dy-0 О х^2 у + ху^2 + 3x^2- 2у^2 -с О х^2 у -ху^2 -…

A:

Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: bx-'x5/cxfx1 b-1 (x"x/c 1/b (e) 6x0.2 = 5y0.4 (solve for y in terms of x) %3D x = (2-1/2)-1/2 (solve…

A: Since you have posted multiple sub parts, as per our policy we will answer first three subparts.…

Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

A:

Q: Solve the equation: (x-2y) dx + 2(y-x) dy = 0 Answers should be within these givens. x2 – xy + 4y2…

A: Let's find.

Q: y= 2*+☆ -3 sec x; find dy

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: x-1 -dx (x-3)*(x+1)4 Evaluate and show all necessary solutions

A: Given: I=∫x-1x-34x+14dx For evaluating given integral, we substitute x-3x+1=t…

Q: Solve the equation 3(y+1)dx-(x+y+3)dy=0

A: Variable separable form of differential equation: dydx=f(x)g(y) Apply variable separable to given…

Q: Solve the equation:    (xy2+x3 √y) dy + (y3- x4) dx = 0

A:

Q: (x² + b²)dy = 2x[(x² + b?)² + 3y]dx; y(b) = 4b*; b is a constant # 0 %3D

A:

Q: Q-1:B: Solve the initial value problem d?y + 4y = 8x2 ,y(0) = -3,y'(0) = 0 %3D %3D dx2

A:

Q: (2x + 3y - 1)dx + (2x + 3y +2)dy =0 answer: 2x + 2y + C = -6ln (2x + 3y - 7) find the general…

A:

Q: 3x2-2 6. Find (a). + 5e*+3 (b). z(3z² – 4)° dz dx x3

A:

Q: d4y + dx2 d²y ) Obtain a particular solution for + + y = x³ + 2x + 1 dx4 dx

A:

Q: (бх — 3у + 2)dx - (2х — у —1)dy %3D 0

A:

Q: 7. dx = y(1+ y²)sec²x dy

A:

Q: dy = -5x+x %3D dx a. -5x++x?+C b. –15x2+1+C 1 c. d. -5x2+1+C

A: we integrate the differential equation by power rule and add integration constant C. The answer is…

Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: y'-y= xe* +1

A:

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: dif ferential equations I. (3x-y- 4) dy =( x +y -4) dx when X-3 y-1

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Solve the D.E ý - y = x لم

A:

Q: dy .? dx %3D Suppose x and y are variables that satisfy the equation x2 – y³ = 12. What is

A: We can find dy/dx as below.

Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

A:

Q: he (D+D+1)y(x)= xe equation Solve the y,(x) = (x-1)e* -e y,(x): (x+1)e" y,(3) =x-1 (x-1)e"

A:

Q: 1/2 y = (4x-3)¹/²₂ d³y 3 dx

A: Third derivative id given.

Q: • Solve the equation (2xy – 3x²)dx + (x² + 2y)dy = 0

A: Given that: (2xy-3x2)dx+(x2+2y)dy=0

Q: (x + 2y − 1)dx + (3x + 6y)dy = 0. can you write the answer legibly

A: The given differential equation is (x + 2y − 1)dx + (3x + 6y)dy = 0.

Q: Find dy when x =5 and dx = 0.2. y=x* - 3x° + 3x2 + 3x- 3 dy = (Simplify your answer.)

A:

Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

A:

Q: For the equation 9 y" - 12 y' + 4 y = 0 one solution is y1 = e then using Reduction of order, y2 =…

A: Given equation is; 9y"-12y'+14y=0, y1=e2x/3.

Q: Solve: y1/2 (dy/dx) + y3/2 = 1, y(0) = 4. %3D %3D

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.