How do you simplify?

Mathematics

1 answer:

cupoosta [38]3 years ago

4 0

5. -40
6. -1/64 or in decimal form (<span>−0.015625</span>)
8. -25
9. 4/5

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If you're using the app, try seeing this answer through your browser: brainly.com/question/2887301

—————

Solve the initial value problem:

dy
——— = 2xy², y = 2, when x = – 1.
dx

Separate the variables in the equation above:

$\mathsf{\dfrac{dy}{y^2}=2x\,dx}\\\\
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In order to find the value of C₁ , just plug in the equation above those known values for x and y, then solve it for C₁:

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$\mathsf{2=-\,\dfrac{1}{1^2+C_1}}\\\\\\
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Substitute that for C₁ into (i), and you have

$\mathsf{y=-\,\dfrac{1}{x^2-\frac{3}{2}}}\\\\\\
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So y(– 2) is

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I hope this helps. =)

Tags: <em>ordinary differential equation ode integration separable variables initial value problem differential integral calculus</em>

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