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What's on the worksheet
- For each differential equation, state its order.y'' = 6x + 2; \quad y = x^3 + x^2 - 5xy' = 3y - 6; \quad y = 2 + 4e^{3x}y'' - 9y = 0; \quad y = \cos 3xxy' + y = 0; \quad y = \dfrac{5}{x}y' = 2xy; \quad y = e^{x^2}
- Show that y = 3x² + Cx² solves xy' + 2y = 12x² for every constant C.
- Daniel steers a canal barge.
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Differential equations and their solutions: the lesson ›More Chapter 8 worksheets: The fundamental theorem and antiderivatives
- 8.1The first fundamental theorem of calculus
- 8.2Graphing an accumulation function
- 8.3Antiderivatives and indefinite integrals
- 8.4The second fundamental theorem of calculus
- 8.5Antiderivatives of trig, exponential and log functions
- 8.6u-substitution
- 8.7Dividing before integrating
- 8.8Completing the square inside an integral
- 8.9Differential equations and their solutions