Solve the following problem with the fourth-order RK method: d²y 2 + 3-+3.125y = sin x dx2 dy dx where y(0) = 5 and y'(0) = 3. Solve from x = 0 to 5 with h = 0.5. %3D

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Q: Solve the following problem with the fourth-order RK method: d²y dy + 3-+3.125y = sin x dx 2- dx²…

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Q: Solve the following problem with the fourth-order RK method: d²y dy + 3- + 3.125y = sin x dx2 dx…

A: given 2d2ydx2+3dydx+3125y=sinx  ...i with  y0=5 and y'0=3 x=0 to 5 with h=0.5 claim- solve with…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.