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To solve (1 + x²)dy/dx + 2xy = cot x, a student first… | StemPy Lab
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To solve (1 + x²)dy/dx + 2xy = cot x, a student first writes the standard form. What is the integrating factor?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Differential Equations
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StemPy Lab
To solve
(
1
+
x
2
)
d
y
d
x
+
2
x
y
=
cot
x
(1 + x^2)\dfrac{dy}{dx} + 2xy = \cot x
(
1
+
x
2
)
d
x
d
y
+
2
x
y
=
cot
x
, a student first writes the standard form. What is the integrating factor?
ln
(
1
+
x
2
)
\ln(1 + x^2)
ln
(
1
+
x
2
)
1
+
x
2
1 + x^2
1
+
x
2
e
x
2
e^{x^2}
e
x
2
2
x
2x
2
x
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← What is the integrating factor of dy/dx + y cot x = 2 cos x on an interval where sin x > 0?
A culture grows so that its scaled size satisfies dy/dx = 2xy, with y = 5 at x = 0. What is y at x = 1, correct to four decimal places? →
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