Find the general solution to dr tIn(t) +r = 6te". dt Enter your answer as r . ...

Q: Q1: Solve the following O.D.E у"- Зу'- 4у%3DЗе + 2 sin x - 8e* cos 2.x.

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Dy + Ox D'y )u =0

A: We have to solve given problem:

Q: 3 de + 4 €²x³² + = ²0 dt

A: The given differential equation is ,                 dxdt+4x5t3 + xt = 0 (.)  Bernoulli equation :…

Q: (2xy tx?+x*) dx - (Itx²) dy=D0

A:

Q: ex solve the Disserentail eg using Exact method ylny dx +(1+x²) dy

A: We have to solve the given differencial equation.

Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: B. Show that f(x) = 2(In x)³ is a 3f(x) solution xlnx to the equation f'(x) = =

A: We have to show that y=2(ln(x))3 is a solution of given equation.

Q: Find a solution to the following equation in terms of Bessel functions. y" + 2n²ry = 0 y(x) =

A: Given: The given equation is y''+2n2xy=0 → equation(1)

Q: Solve the following DE x y" – 4y' = x e"

A:

Q: Using substitution z = xy , convert the DE dy 2XV4 - x²y2 to a separable equation. Hence solve the…

A:

Q: 1. Find the solution of the IVP: x' 13 = - (-43)* -1 5 x (0) ») = (-3).

A: Given that the initial value problem x'=13-15x   ,  x0=-24 This is in the form x'=Ax Here  A=13-15

Q: Find the general solution of ty" + 3ty' +1.25y = 0.

A: The given differential equation is…

Q: dy Solve the initial value problem: + 2y = 6e¬x; y(0) = 8

A: Since the given differential equation is first order linear differential equation so we first find…

Q: 7. Let f(x, y) = 10xy* + x°y². Find fyyy. 4

A:

Q: a.(2y²+2y+4x² ) dx + (2xytx )dy =D0

A: The solution is given as

Q: d²x dt² dx dx 4+5x = 10; when t=0, x=0, x=0. dt dt +4.

A:

Q: 1 Find the complete solution of y" - 2y' + 2y =x + e* cos x.

A:

Q: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

A:

Q: 3- Finl Gmeral Salafien t

A: This is the question from the exact forms of differential equations. For detailed solution, visit…

Q: 1. Solve for the othogonal trasctories y =x²(1-cx)

A:

Q: x y' -2 y = 4 x Vy

A: Let us consider the liner differential equation dydx+P(x)y=Q(x) then to solve the equation…

Q: 2. Solve the following DE x y" – 4y = x e

A:

Q: 7. Find two solutions to: y" – xy – y = 0

A:

Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: 3. If X' such that the second solution is of the form X, = te+Be, then B = Select one: O a. Ob.

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.