Solve the differential equation 𝑑 𝑦 𝑑 𝑥 = 2 𝑥 dx dy ​ =2x with initial condition 𝑦 ( 0 ) = 3 y(0)=3.

Question

Solve the differential equation 𝑑 𝑦 𝑑 𝑥 = 2 𝑥 dx dy ​ =2x with initial condition 𝑦 ( 0 ) = 3 y(0)=3.
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Solution 1

Sure, let's solve the differential equation dy/dx = 2x with the initial condition y(0) = 3.

Step 1: Separate the variables. We can rewrite the differential equation as dy = 2x dx.

Step 2: Integrate both sides. The integral of dy is y, and the integral of 2x dx is x^2. So, we have y = x^2 + C, wher Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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