Questions
Questions

ENG1090 - MUM S1 2025 Mock Final Exam

Numerical

Let \(y\) be the solution to the initial value problem $$\dfrac{dy}{dx}=3x^2+1, \qquad y(0)=2.$$Calculate \(y(1)\).

View Explanation

View Explanation

Verified Answer
Please login to view
Step-by-Step Analysis
The given problem is an initial value problem for a first-order ODE, so I’ll find an antiderivative and then apply......Login to view full explanation

Log in for full answers

We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!

Similar Questions

Solve the initial value problem:             25 𝑥 ″ + 20 𝑥 ′ + 229 𝑥 = 0 , 𝑥 ( 0 ) = 2 , 𝑥 ′ ( 0 ) = − 2.

Let 𝑦 ( 𝑥 ) be a solution to the initial value problem: 𝑑 𝑦 𝑑 𝑥 − ( 9 𝑥 + 8 ) 𝑦 2 = 0 , 𝑦 ( − 1 ) = − 2. What is the value of 𝑦 ( − 2 ) ? Hints: Use the method of separation of variables to solve the initial value problem. ∫ 𝑥 𝑛 𝑑 𝑥 = 𝑥 𝑛 + 1 𝑛 + 1 + 𝐶 .

Let [math: y] be a twice differentiable function in [math: x] such that [math: y″+5y′+6y=0]y’’+5y’+6y=0, [math: y(0)=1] and [math: y′(0)=2]y’(0)=2. Compute [math: y(1)]. (Correct the answer to 2 decimal places.)

Let [math: y] be a twice differentiable function in [math: x] such that [math: y″=2y′−2y]y’’=2y’-2y, [math: y(0)=1] and [math: y′(0)=3]y’(0)=3. Compute [math: y(1)]. (Correct the answer to 2 decimal places.)

More Practical Tools for Students Powered by AI Study Helper

Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!