Differential Equations Q1

Differential Equations Q1

Find the general solutions of the following differential equations:

  1. \({\left( x+2 \right)\frac{\mathrm{d}y}{\mathrm{d}x}=y}\)
  2. \({\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{3xy-2x}{1-{{x}^{2}}}}\)
  3. \({y\frac{\mathrm{d}y}{\mathrm{d}x}=x{{y}^{2}}+3x}\)
  4. \({\sqrt{x}\frac{\mathrm{d}y}{\mathrm{d}x}=y{{\mathrm{e}}^{\sqrt{x}}}}\)

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs a course plan.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(a) \({y=A(x+2)}\) (b) \({y=B\left(1-x^2\right)^{-\frac{3}{2}}+\frac{2}{3}}\) (c) \({y^2=Ae^{x^2}-3}\) (d) \({y=Ae^{2e^{\sqrt{x}}}}\)

Need help? Join our JC Math tuition classes.

Learn more