Find the solution to the differential equation dydx=(y+4)2\displaystyle \frac{dy}{dx} = (y + 4)^2dxdy=(y+4)2 given that when y=−3y = -3y=−3, x=0x = 0x=0
Give your answer in the form y=f(x)y = f(x)y=f(x)
480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.