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ODE: Taylor's Series Method
Choose difficulty:
Beginner
Intermediate
Advanced
x
0
=
0
,
y
0
=
1
x_0 = 0,\ \ y_0 = 1
x
0
=
0
,
y
0
=
1
d
y
d
x
=
f
(
x
,
y
)
=
2
x
+
y
2
\frac{dy}{dx} = f(x,y) = 2x+y^2
d
x
d
y
=
f
(
x
,
y
)
=
2
x
+
y
2
F
i
n
d
y
(
0.1
)
Find\ y(0.1)
F
in
d
y
(
0.1
)
a: 1.121
Explanation
Explanation
b: 1.921
Explanation
Explanation
c: 2.423
Explanation
Explanation
d: 2.312
Explanation
Explanation
x
0
=
0
,
y
0
=
1
x_0 = 0,\ \ y_0 = 1
x
0
=
0
,
y
0
=
1
d
y
d
x
=
f
(
x
,
y
)
=
4
x
+
y
2
\frac{dy}{dx} = f(x,y) = 4x+y^2
d
x
d
y
=
f
(
x
,
y
)
=
4
x
+
y
2
F
i
n
d
y
(
0.1
)
Find\ y(0.1)
F
in
d
y
(
0.1
)
a: 2.999
Explanation
Explanation
b: 1.132
Explanation
Explanation
c: 1.785
Explanation
Explanation
d: 2.894
Explanation
Explanation
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