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  • Differential equation:
  • Equation (𝑥^2−1)𝑦′−2𝑥𝑦=0
  • Equation xy'+y=2y(ln(y)-ln(x))
  • Equation dx/dt=5x+2y
  • Equation e^x(y-1)dx+2(e^x+4)dy=0
  • Identical expressions

  • (d^ two z)/(dx^ two)-a^ two (d^2z)/(dy^2)= zero
  • (d squared z) divide by (dx squared ) minus a squared (d squared z) divide by (dy squared ) equally 0
  • (d to the power of two z) divide by (dx to the power of two) minus a to the power of two (d squared z) divide by (dy squared ) equally zero
  • (d2z)/(dx2)-a2(d2z)/(dy2)=0
  • d2z/dx2-a2d2z/dy2=0
  • (d²z)/(dx²)-a²(d²z)/(dy²)=0
  • (d to the power of 2z)/(dx to the power of 2)-a to the power of 2(d to the power of 2z)/(dy to the power of 2)=0
  • d^2z/dx^2-a^2d^2z/dy^2=0
  • (d^2z)/(dx^2)-a^2(d^2z)/(dy^2)=O
  • (d^2z) divide by (dx^2)-a^2(d^2z) divide by (dy^2)=0
  • Similar expressions

  • (d^2z)/(dx^2)+a^2(d^2z)/(dy^2)=0

Differential equation (d^2z)/(dx^2)-a^2(d^2z)/(dy^2)=0

The teacher will be very surprised to see your correct solution 😉

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For Cauchy problem:

y() =
y'() =
y''() =
y'''() =
y''''() =

The graph:

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