let the solution curve y=y(x) of the differential equation dy/dx-3x^5 tan^-1(x^3)y/(1+x^6) |JEE Main

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In this video, we dive deep into solving a complex differential equation involving trigonometric and exponential functions. We explore each step to find the solution to the equation:

dy/dx - [3x⁵tan⁻¹(x³)/(1+x⁶)³ᐟ²]y = 2x exp(x³ - tan⁻¹(x³/√(1+x⁶)))

We start by finding the integrating factor and proceed to solve the equation step-by-step, using initial conditions to determine the final solution curve. Watch the video to learn how to tackle such differential equations!

✅ Key Topics Covered:

First-order linear differential equations
Integrating factor method
Complex trigonometric and exponential functions
Step-by-step solution process

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  1. Shiwam's Classes
  2. shiwam'sclasses
  3. differential equations
  4. integrating factor
  5. complex differential equations
  6. linear differential equations
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