А. Classify the following differential equations according to order, degree and type Differential Equation Order Degree Туре 1. X - yy' = 0 a2 2. y" = y3 dh + 2h = 0 dr 3. d?y k’y 4. dx2 a2u 5. ( %3D du + = 0 ду d's 6. ( dt3 3ds = 0 t2

Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: y" - 2y' - 8y = 7x The Generai Solution to its Particular Solution is y, = Ar? + Bx + C Find the…

A:

Q: y" - 2y' - 3y = e8x

A: Given is the differential equation y''-2y'-3y=e8x The objective is to find the solution.

Q: 7. - equations. solve the given equations using separable diff 1-4v² dv 6. x- dx ,when x = 3, y = 2…

A: The given differential equation is xdvdx=1-4v23v

Q: Determine the differential equation for which the function below is a solution. y = e-v2 Select one:…

A: We can find the differential equation by differentiating the given function.

Q: Determine whether the following equation is a solution to the corresponding differential equation.

A:

Q: Which of the following differential equations can be solveusing determination ofintegrating factor?…

A: This is a differential equation question

Q: 3. (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, –3) %3D

A:

Q: 4 j³g du³ + use Here equation. J J du² Sympy dy jn - y = o solve the differential

A:

Q: 5. Obtain the differential equation of the family of curves, parabolas with vertex and focus on the…

A:

Q: V. Solve the following differential equations using variation of parameters. 1. y"+ 6y + 9y = xe 2.…

A:

Q: 10. (2х + Зу — 5)dx + (3х — у — 2)dy %3D 0 hint: Ca

A: We are asked to solve the differential equation.

Q: The suitable form of the differential equation y" + 2y' – 3y = 5e2t, is Y = A¡e24, then the value of…

A:

Q: a. (y')? – 3yy' + xy = 0 12 + y = x b. C. dt dt dy

A: According to our guidelines we can solve only three sub parts and rest can be reposted.Thank you

Q: 2 2 dy 3. dx 2y +=x'y'sin x

A:

Q: The integrating factor that transforms the differential equation 3y" – 6y' + Axy = 0 , into a…

A: The differential equation of the form, A(x)d2ydx2+B(x)dydx+C(x)y=0 can be transformed into a…

Q: dy + y [ tanx + xy² Sec? (x ) ] dx = 0

A:

Q: dy 12. =-2e5x+y | dx

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

Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: 1. For each givenDE, determine the dependent variables and independent variables.

A:

Q: dy -y = dr After applying Bernoulli's Equation, we have the following 1st Order Linear Differential…

A:

Q: Match each solution function to the correct differential equation. A. y = e* I. y" + y = 0 В. у %3D…

A: I am going to solve the given problem by using the simple differential calculus formulas.

Q: Find the general solution or particular solution. 1. dy = (x-3y)dx 2. y'%3х- 2усоot 2x 3. (Зх- 1)…

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.