3) + 2x³y = y°x³ dx

Q: Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is…

A:

Q: dy 4. x - y = x² sin x dx

A:

Q: Obtain the general solution to the equation. y(dx/dy)+6x=3y^4

A:

Q: 9- Find the values of y(0.1) and (0.2) for Riccati equation y'= y + xy-1; y(0) = 0

A:

Q: Find the equation of the curve that passes through (2,3) if its s dy = 5x-7 %3D dx y(x) =

A:

Q: (x + y – 2) dx + (x – y + 4) dy = 0 |

A: Given:-(x + y - 2) dx + (x - y + 4) dy = 0To find: Find the family of equations

Q: Find the general solution of the equation d2y/dx2 - 2dy/dx +4y =2ex sin2(x/2)

A: Given the given differential equation is d2ydx2-2dydx+4y=2exsin2x2

Q: Solve for dy y = sec 2x² dx

A:

Q: Obtain the general solution to the equation. dy y +7x +1 %3D dx

A: Here we have to find general solution of given differential equation

Q: 16) y"-6y'+5y = 29 cos(2t), y(0) = 3.2, y'(0) = 6.2

A:

Q: (교2 + y2 - 5)dz = (y + zy)dy,

A:

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

A:

Q: Find the general solution of the equation d2y/dx2 - 2dy/dx +4y =2e sin2(x/2)

A:

Q: Find the general solution of = 8e-4x %3D dx

A:

Q: Find the solution of dy 2x- +y =x is dx

A:

Q: solve (8y'sec? 2xt 4x³e*%y+Gcsc*3x)dx-(3xue 3y-12y²tan 2x) dy =0 as an exact equation .

A:

Q: dy 2y ! = -x² y² sec²x %3D dx +

A: Using solution of Bernoulli Differential equation.

Q: x=-4 sin t, y=-2 cost, 0<t<2n Rectangular equation: O=0 -6- 2. -8 -2-

A:

Q: The equation (x - 3y)dy = (2y + 4)dx is exact.

A:

Q: y' = 5y + y?

A: First we convert the given Bernoulli equation into linear differential equation. After that we…

Q: solve using the appropriate method. y' + yx= sin x

A:

Q: Solve and specify method used. x dy y dx х3 dx y2

A: Given DE is (x dy - y dx)/y2 = x3 dx  We solve this DE and we specify the method used.

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

A:

Q: 4x + Vx Y = (a) 7x2 – 3 et (b) y = 7x³ cos x 19

A:

Q: The equation (x*y^2 + x - 2y + 3)dx + (y*x^2)dy = 2(x+y)dy is not exact. true or false?

A:

Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

A:

Q: 2x y" + 4y' + 5y = cosx

A:

Q: dy -y² = yx+x² dx

A:

Q: 1. Solve the linear equation y' +y = 5 sin 2t.

A: Given that  y'+y=5sin(2t) To find the general solution of the differential equation

Q: Solve Hhe dipperential Eguentione. 3(x+zy-4) dy + Gx-3y +2) dx= 0

A: Wea will convert the equation into homogeneous differential equation by substituting and then solve…

Q: Find the solution of the equation 200 az a²z + cos y Əx² Əy² which tends to zero as x→∞ and has the…

A: Given differential equation∂2z∂x2+∂2z∂y2=e-xcosy. The objective is to find the solution of the…

Q: d'y Solve d’y dy -6- dx? dx -+13y%3D8e"sin2x

A:

Q: 2. 2x² dx – 3,/y secx dy = 0

A:

Q: (2x - 5y+3)dx = (2xrry-6)dy =o

A: Given  (2x-5y+3) dx - (2x+4y-6) dy = 0 ⇒ (2x-5y+3) dx = (2x+4y-6) dy ⇒ (2x-5y+3)(2x+4y-6) = dydx ⇒…

Q: The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

A: Given that, Differential equation is following, dydx+4x2y=xy We have to find that this D.E can be…

Q: -dx zyz²–25 -1 = sec +C True False

A: The given integral is ∫1xx2-25dx

Q: dy 2y+3\2 dx 4x+5. ||

A:

Q: Question 02: Solve with suitable condition d'y dx - = 0, where y(0)=2, y'(0) = 3, y" (0) =4, y" (0)…

A:

Q: Find the general solution to the equation: y' = y sin(2x + 3) .

A:

Q: Solve the equations. 1. (2x - y)dx + (4x + y- 6)dy = 0 2 (x+ y-1)dx + (2x + 2y + 1)dy = 0

A:

Q: The equation (tan²x+3y²)sec²xdx + (3tan²x + y²)dy=0 can be solved by

A:

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: b) dr cos² #√5 + tanz c) ₁ dt (3-5t)²

A:

Q: Solve the equation [cos (2y) - (3x^2)(y^2)]dx +[cos (2y) - 2x sin 2y - (2x^3)(y)]dy = 0

A: To solve the given differential equation. First we check whether the differential equation is exact…

Q: what is the general equation to the equation dy dx 2 2 dx²

A:

Q: Find the general solution of the equation y" − 4y' + 3y = sin(x)e²x -

A:

Q: Solve the IVP d'y = 4sec 2x tan 2x, y' (0) = 4, y(0) =-1 dx2

A:

Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: Solve for GS: (D⁴+5D+4)y = cos (3x+4)

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.