Find the general solution of 0= -dy/dt -py-qy^5 by making a suitable substitution that transforms the DE into a linear non homogeneous one

Q: 3. Apply Euler-Maruyama method as one step to solve the SDE 3 y dy dt + dBt 5 t y(1) = 2

A: Given dy=3-y5-tdt+dBty1=2

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Q: Apply Euler-Maruyama method as one step to solve the SDE 3 y dy dt + dB %3D 5 t y(1) = 2

A: Given: dy=3-y5-tdt+dBt y1=2 We have to apply Euler-Maruyama method as one step to solve the SDE.

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A: I am attaching image so that you understand each and every step.

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Q: Solve for the solution of differential equation using Laplace Transform. y – 5y +6y = 0; y (0) = y…

A: Correct ans is option = D Please find attachment for the details solution

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Q: 3. Apply Euler-Maruyama method as one step to solve the SDE 3 y dy = dt + dB 5-t y(1) = 2

A: Given the SDE is dy=3-y5-tdt+dBty1=2