Solve the initial value problem: 9y" + 6y + 8y = 0, y(T/2) = –2, У(п/2) — —1. Give your answer as y =.. . Use x as the independent variable.

Q: Can you help me solve this equation using undetermined coefficients? y'''-y''-9y'+9y=4-e^x+e^3x

A:

Q: Calculate y '' y = x- 2/5

A: Given that, y=x-25 We have to calculate y''. Differentiating y with respect to x we get,…

Q: y′′−9y = e^3tsin(t)

A: We have to solve given problem:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: - 6 = ₁6 -X

A: Given: The differential equation is y'=y-xx-y+2. To find: Solution of the differential equation.…

Q: solve for a, where 0 (less-than or equal-to) a (less-than or equal-to) 2pi  sec^2(a)-2tan(a)=4…

A:

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: 2y" --2y' +2y=6+2e¹/2

A:

Q: Find y' if y= 8x y D

A:

Q: Differentiate. y = Y =_et %3D 3x2 y' = %3D

A: The detailed solution is as follows below:

Q: Solve the following DE: 3x^3y'=2y(y-3)

A:

Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: Solve the IVP y’=3xy^2

A:

Q: y = 2" In (cot (Tx))

A:

Q: How can I get from 7.9y / 9x = 19 / 80 to y = 0,2706x ?

A: 7.9y9x   = 1980  Multiply both side 9x,9x*7.9y9x   = 9x*19807.9y= 9x*1980Divide both side by…

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: Find y" 3x +4 y = 2x - 3 y" =D

A:

Q: Solve 1- y y' = ² + cos(²)

A:

Q: TV Cos X 4-3 Sin x dx 2. Calculate

A: Solution

Q: y'+Sy +b4= x²eX Sin5x Find the general solution of the equation.

A:

Q: Use Newton’s method to find the root, x⋆, of the equation, f(x) = x^2e^−x − 0.6, up to machine…

A: We have given f(x)=x2e-x-0.6, x0=0.2  ∴f'(x)=2xe-x-x2e-x now using Newton’s method iterations to…

Q: Solve: y' ( ² ) X =-In

A:

Q: Find the solution of: y'' - y = 56e^(3t) With y(0) = 9 and y'(0) = 6. y =

A:

Q: Solve the initial value problem. dy 6 =x (y-5), y(0) = 8 dx

A: The  given differential equation is We have to solve the given differential equation(1).Now,from(1),…

Q: x+1 Solve y'=- y +1

A: Differential equation

Q: Find y''. y'" y = x(3x+4)4 |||

A: Topic:- derivatives

Q: solve 9'' + 9y = 0

A:

Q: Solve X' ||

A:

Q: 1 = felan(4x*). sec²(4x²)xde 2

A:

Q: y’ = 3x^2e-y   solve

A:

Q: Solve y'+4xy^2=0.   What is the value of y(2) if y(.7)=5.88?

A:

Q: y''- 2y"=cosh(2x).

A:

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

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.