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(dy)/(dx)=y^(4) and y(2)=-1. y(-1)=

dydx=y4 \frac{d y}{d x}=y^{4} and y(2)=−1 y(2)=-1 .\newliney(−1)= y(-1)=

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Full solution

Q. dydx=y4 \frac{d y}{d x}=y^{4} and y(2)=−1 y(2)=-1 .\newliney(−1)= y(-1)=
  1. : Separate variables: : Separate variables to integrate both sides of the differential equation
  2. : Integrate both sides: : Integrate both sides
  3. : Find CC using initial condition: : Use the initial condition y(2)=−1y(2) = -1 to find CC
  4. : Substitute CC into equation: : Substitute CC back into the integrated equation
  5. : Solve for y: : Solve for yy when x=−1x = -1

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