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A culture grows so that its scaled size satisfies dy/dx… | StemPy Lab
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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?
Mathematics
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High School (11–12)
Functions and Calculus › Differential Equations
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A culture grows so that its scaled size satisfies
d
y
d
x
=
2
x
y
\dfrac{dy}{dx} = 2xy
d
x
d
y
=
2
x
y
, with
y
=
5
y = 5
y
=
5
at
x
=
0
x = 0
x
=
0
. What is
y
y
y
at
x
=
1
x = 1
x
=
1
, correct to four decimal places?
36.9453
36.9453
36.9453
13.5914
13.5914
13.5914
8.2436
8.2436
8.2436
2.7183
2.7183
2.7183
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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?
For x > 0, which function is the general solution of dy/dx + y/x = 3? →
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Functions and Calculus › Differential Equations
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