\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Courses
About
Login
Register
C
⌫
\(\pi\)
e
\(\frac{a}{b}\)
!
←
→
(
)
\(\sqrt{\,}\)
\(a^{b}\)
7
8
9
\(\div\)
log
ln
4
5
6
\(\times\)
cos
cos⁻¹
1
2
3
-
sin
sin⁻¹
0
.
=
+
tan
tan⁻¹
Consider the differential equation \(\dfrac{dy}{dx} = 1 + y^2\) with the initial condition \(y(0)=0\).
Find the Maclaurin series for \(y(x)\) up to and including the term in \(x^3\).
Hence, find an approximate value for \(y(0.2)\).
Solve the differential equation to find the particular solution for \(y(x)\).
Find the percentage error in your approximation from part (b), correct to 3 significant figures.
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.
Exit