11.10 Solving Differential Equations

Question 6

A function $f\,$ has domain $R\mathbb{R}$ and range ${y∈R:y≥−4}\{y \in \mathbb{R} : y \ge -4\}$ . The gradient of the curve $y = f (x)$ at any point $(x, y)$ is given by $dydx=(2x−8)ex\displaystyle \frac{dy}{dx} = (2x - 8)e^x$ . Find an expression for $f (x)$ . Fully justify your answer.

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11.10 Solving Differential Equations

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Question 6

A function $f\,$ has domain $R\mathbb{R}$ and range ${y∈R:y≥−4}\{y \in \mathbb{R} : y \ge -4\}$ . The gradient of the curve $y = f (x)$ at any point $(x, y)$ is given by $dydx=(2x−8)ex\displaystyle \frac{dy}{dx} = (2x - 8)e^x$ . Find an expression for $f (x)$ . Fully justify your answer.

[7]

11.10 Solving Differential Equations

Question 6

Markscheme

11.10 Solving Differential Equations

Question 6

Markscheme

11.10 Solving Differential Equations

Question 6

11.10 Solving Differential Equations Questions

11.10 Solving Differential Equations

Question 6

11.10 Solving Differential Equations Questions