Question

Solve the following initial value problems using MATLAB’s
**dsolve command**, (write the coding used for the
problem using the **dsolve command** and I will do the
rest, I just can't get the coding right)

y' = 2y(3 - y), for different initial conditions, y(0) = 4, y(0) = 2, y(0) = -1

Answer #1

solve the initial value problems
y" - 2y' + y = 2x^(2) - 8x + 4, y(0) = 0.3, y'(0) = 0.3

Solve the following initial value problems and determine the
intervals in which the solution is defined:
(a) y 0 = (1 − 2x)y 2 , with y(0) = − 1 6 3
(b) y 0 = 2x 1 + 2y , with y(2) = 0

Solve the following initial value problems and determine the
intervals in which the solution is defined:
(a) y'= (1 − 2x)y^2 , with y(0) = − 1/6
(b) y' = 2x /(1 + 2y) , with y(2) = 0

Solve the Initial Value Problem:
?x′ = 2y−x
y′ = 5x−y
Initial Conditions:
x(0)=2
y(0)=1

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

Solve the following initial value problem.
y''-2y'+2y=4x+5. ; y(0)=3. and y'(0)=0

Solve the initial value problem using
Laplace transform theory.
y”-2y’+10y=24t,
y(0)=0,
y'(0)= -1

Use Laplace transform to solve the following initial value
problem: y '' − 2y '+ 2y = e −t , y(0) = 0 and y ' (0) =
1
differential eq

Solve the following initial value problem using Laplace
transform
y"+2y'+y=4cos(2t) When y(0)=0 y'(0)=2
Thankyou

Using the method of undetermined coefficients, solve the
following Initial Value Problem.
y'' - y = (t)(e^t) ; y(0) = 0 ; y(-1) = e - 1/e
Please write clearly! Thank you!

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