1.11.7 Differential equations with separable variables (A-level only)

a.

Find $dx\int x^2 \sin 2x \, dx$

[3]

b.

Hence solve the differential equation

\frac{dy}{dt} = \left(\frac{t \sin t}{y}\right)^2

giving your answer in the form $y^n = f(t)$ where $n$ is an integer.

[6]

a.

Find $dx\int x^2 \sin 2x \, dx$

[3]

b.

Hence solve the differential equation

\frac{dy}{dt} = \left(\frac{t \sin t}{y}\right)^2

giving your answer in the form $y^n = f(t)$ where $n$ is an integer.

[6]

1.11.7 Differential equations with separable variables (A-level only) Questions