y +4Y+4Y X2

Q: y"+y' - 2y = x2

A: Solution :-

Q: 2x^2 + y^2=18 xy=4

A: Given 2x2+y2=18    ......1xy=4   ....2

Q: x1/2 + y2/3 = -4y

A:

Q: y = e3x-2y +x² . e 2y

A:

Q: x +y = - 12 2x - 3y = 6

A: Solved below

Q: y"-6y'+9y= 0 v(0) = 2 1/(0) = 3.

A:

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: x2 + 2y2 + 3z2 = 1

A:

Q: 3x – y = 12 (x-1)² + y² = 4

A: We will solve it using elimination method  We add the equations to eliminate y2 Adding the equations…

Q: y' − (4x − y + 1)² = 0 y(0)=2 -

A: To solve the given differential equation  y'-4x-y+12=0 with initial condition y0=2

Q: 3-X xy+(x-2)y=3xe

A: xy'+(x−2)y=3x3e−x ⇒y'+(x−2)xy=3x2e−x

Q: 3x+y>-1 x+2y <8

A: Equation of first line is 3x+y=-1 For x=0, y=-1 and for y=0, x=-0.33 Equation of second line is…

Q: X+y=2 3x-2y=1

A: Given: X+y=2 3x-2y=1

Q: x- y = 4 y | 7. 3x - 3y = -6

A:

Q: Find y 2 x - 3y =7

A: The given equation is 2x3-3y2=7 To find: y''

Q: y'-5y = x²e* – xe³*

A:

Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: x' y' 7x + 6y ||||

A: We have to find the value of x(t) and y(t).

Q: Solve the system

A: x+3y=-1  →12x-y=5     →2

Q: x+2y=7 5x-y= - 1

A:

Q: Y=x+1 2x-2y=8

A: y = x+1 ...i  2x - 2y = 8  -&gt; y = x -4 ...ii

Q: 3. y' + (x + 2)y² = 0

A:

Q: 3. x² y" + xy'- 9y 0

A:

Q: „3x y" – 6y' +9y =-

A:

Q: Solve the system of equations.

A: x-3y+z=44x-y+15z=5 Since the number of equations is less than the number of unknowns, therefore the…

Q: y = x 2 - 4x + 3 y =x - 1

A: Given area is bounded by the curves, y=x2-4x+3   and y=x-1

Q: y"-8y'+2y xe

A: Answer of given question is in step2

Q: 3x²y' = x(5-6y) x = 1; y = 2

A:

Q: y' = 10y - 2y y(0) = 1 %3D

A: Given: y'=10y-2y2 y(0)=1 To find: The solution y(t) by recognizing the differential equation.

Q: 2. y' = x²/y(1 + x³)

A: To Solve: The given differential equation y'=x2/y1+x3

Q: y"+6y'+9y=2+ e -9x

A:

Q: x2+4x+y2-6y=-9

A: x2+4x+y2-6y=-9 =&gt;x2+4x+22+y2-6y+32 =-9+22+32 =&gt;x2+(2*2*x)+4+y2-(2*3*y)+9 =-9+4+9…

Q: y"-2y'+y= x² –1

A:

Q: Find dy/dx.

A: ddxx+2yx-3y2=2·x+2yx-3yddxx+2yx-3y=2·x+2yx-3y·5xddxy-5yx-3y2=2x+2y5xddxy-5yx-3y3

Q: y''  +  y'+  2y  =  3e^2x

A:

Q: 7x x* +y= 7y* +x

A: The formula that one have to use here is ddxxn=n(x)n-1

Q: (2x + 3) + (2y − 2)y′ = 0

A: Given,

Q: y² - 4x - 2y = 7

A: Introduction: If a parabola has a horizontal axis, the standard form of the parabola equation is (y…

Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: 2.x + y+ 8x - 6y - 39 = 0

A:

Q: y2+9y+8 / y3+6y2-16y

A: Simplify the given fraction of polynomials as follows.

Q: y' = 6x + 10x¹ + 12e³x *+/ + y' = 6x² + 2x − 5, y(0) = 7 y' = xy

A:

Q: x² + y = 16 x2 + 4y + 16 =0

A: Given: The given equations are: x2+y=16                                                          …1…

Q: 2x²y" − xy' + (x - 5)y = 0

A:

Q: Solve the system.

A: The given system of equations 2x+3y=2x-2y=8 Multiply the second equation by -2 and then add with…

Q: 2) + xy = 6x/y

A: As per bartleby policy we are supposed to answer only one question per post. This post contains 4…

Q: 2- yy'= √√√y³ - y² 3 [y (0) = 16]

A:

Q: y = 4x — 2 X -2 −1 0 1 2 y

A:

Q: Find x and y. (4y + 7)° (3x - 5)% (6y + 3)° (2x+ 10)°

A: CYCLIC QUADRILATERAL

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.