Question

Solve the initial value problem: 4y′′+3y=0, y(π/2)=2 , y'(π/2)=−1.

Give your answer as y=... Use x as the independent variable.

Answer #1

Solve the initial value problem: 9y″+18y′+19y=0, y(π/2)=−2,
y′(π/2)=−2. Give your answer as y=... . Use x as the independent
variable.

Solve the initial value problem: 9y′′−18y′+15y=09y″−18y′+15y=0,
y(π/3)=2y(π/3)=2, y′(π/3)=1.y′(π/3)=1.Give your answer as y=...
y=... . Use xx as the independent variable.

Initial value problem: y′′+4y= {1 if 0⩽x<π or 0 if x⩾π ,
y(0)=1, y′(0)=0

Solve the initial value problem: y′′−2y′+11y=0y″−2y′+11y=0,
y(0)=3y(0)=3, y′(0)=−3.y′(0)=−3.Give your answer as y=... y=... .
Use xx as the independent variable.

Solve the given initial-value problem.
y'' + 4y = −3, y(π/8) =
1
4
, y'(π/8) = 2
y(x) =

Solve the initial value problems.
1) x (dy/dx)+ 2y = −sinx/x , y(π) = 0.
2) 3y”−y=0 , y(0)=0,y’(0)=1.Use the power series method
for this one . And then solve it using the characteristic
method
Note that 3y” refers to it being second order
differential and y’ first

Use Laplace Transforms to solve the given initial value problem
y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2

use the laplace transform to solve the initial value problem:
y"+4y=4t, y(0)=1, y'(0)=0

2. Solve the initial-value problem: y′′′ + 4y′ = t, y(0) = y′(0)
= 0, y′′(0) = 1.

Solve the initial value problem y''+4y'+4y=0, y(-1)=5,
y'(-1)=5

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