Integration and Differentiation In Exercises 5 and 6 verify the statement by showing that the derivative of the right side equals the integrand on the left side.$\int\left(-\frac{6}{x^{4}}\right) d x=\frac{2}{x^{3}}+C$

Integration and Differentiation In Exercises 5 and 6 verify the statement by showing that the derivative of the right side equals the integrand on the left side.$\int\left(8 x^{3}+\frac{1}{2 x^{2}}\right) d x=2 x^{4}-\frac{1}{2 x}+C$

Solving a Differential Equation In Exercises $7-10$ , find the general solution of the differentialequation and check the result by differentiation.$\frac{d y}{d t}=9 t^{2}$

Integration and Differentiation In Exercises 5 and 6 verify the statement by showing that the derivative of the right side equals the integrand on the left side.$\frac{d y}{d t}=5$

Integration and Differentiation In Exercises 5 and 6 verify the statement by showing that the derivative of the right side equals the integrand on the left side.$\frac{d y}{d x}=x^{3 / 2}$

General and Particular Solutions Describe the difference between the general solution and a particularsolution of a differential equation.

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so the general solution has no initial condition. That's why. Well, yeah. See Connor? No. A particular solution. Lance National Convention. No, right. That's why there's no close. See what?

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## Discussion

## Video Transcript

so the general solution has no initial condition. That's why. Well, yeah. See Connor? No. A particular solution. Lance National Convention. No, right. That's why there's no close. See what?

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