Course home

11.10 Solving Differential Equations

Question 4

Given that $y = 1$ at $x = 0$ , solve the differential equation

\frac{\text{d}y}{\text{d}x} = \frac{12xy^{\frac{1}{2}}}{\text{e}^{3x}}, \quad y \ge 0

giving your answer in the form $y12=g(x)y^{\frac{1}{2}} = g(x)$ .

[6]

Hence find the equation of the horizontal asymptote to the curve with equation $y12=g(x)y^{\frac{1}{2}} = g(x)$ .

[3]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

11.10 Solving Differential Equations

Question bank

11.10 Solving Differential Equations

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13

Question 4

Given that $y = 1$ at $x = 0$ , solve the differential equation

\frac{\text{d}y}{\text{d}x} = \frac{12xy^{\frac{1}{2}}}{\text{e}^{3x}}, \quad y \ge 0

giving your answer in the form $y12=g(x)y^{\frac{1}{2}} = g(x)$ .

[6]

Hence find the equation of the horizontal asymptote to the curve with equation $y12=g(x)y^{\frac{1}{2}} = g(x)$ .

[3]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.