\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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 \(\dfrac{dy}{dx} = y^2\) with the initial condition \(y(0)=1\).
Find the Maclaurin series for \(y(x)\) up to and including the term in \(x^3\).
Hence, find an approximate value for \(y(0.1)\).
Solve the differential equation by separating variables 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