For Problems 34-39, use a differential equation solver to determine the solution to each of the initial-value problems and sketch the corresponding solution curve. The initial-value problem in Problem 20. 20. y ′ + y = f ( x ) , y ( 0 ) = 3 , where f ( x ) = { 1 , if x ≤ 1 , 0 , if x > 1.
For Problems 34-39, use a differential equation solver to determine the solution to each of the initial-value problems and sketch the corresponding solution curve. The initial-value problem in Problem 20. 20. y ′ + y = f ( x ) , y ( 0 ) = 3 , where f ( x ) = { 1 , if x ≤ 1 , 0 , if x > 1.
Solution Summary: The author explains how to find the solution of differential equation yprime+y=f(x) and its curve.
For Problems 34-39, use a differential equation solver to determine the solution to each of the initial-value problems and sketch the corresponding solution curve.
The initial-value problem in Problem 20.
20.
y
′
+
y
=
f
(
x
)
,
y
(
0
)
=
3
,
where
f
(
x
)
=
{
1
,
if
x
≤
1
,
0
,
if
x
>
1.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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