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Given differential equation:$\mathrm{\backslash \backslash }[-2$y$\mathrm{\backslash \text{'}}\mathrm{\backslash \text{'}}+5$y$\mathrm{\backslash \text{'}}+3$y $=\mathrm{\backslash \backslash }$exp$(-0\mathrm{.}2$x$)\mathrm{\backslash \backslash }]$for $\mathrm{\backslash \backslash }($ \ufeffx $\mathrm{\backslash \backslash })$ \ufeffranging from $0$ \ufeffto $10.$Boundary conditions:$-\mathrm{\backslash \backslash }($ \ufeffy$\mathrm{\backslash \text{'}}(0)=1\mathrm{\backslash \backslash })$ \ufeffis a Neumann boundary condition.$-\mathrm{\backslash \backslash }($ \ufeffy$\mathrm{\backslash \text{'}}(10)=-$y$(10)\mathrm{\backslash \backslash })$ \ufeffis a mixed boundary condition.Solve this problem using the Neumann method and then solve it using the Dirichlet method for comparison. Check how the solution changes with different step sizes $\mathrm{\backslash \backslash }($ \ufeffh $=1\mathrm{\backslash \backslash })$ \ufeffor $\mathrm{\backslash \backslash }($ \ufeffh $=0\mathrm{.}1\mathrm{\backslash \backslash }).$ \ufeffSolve the problem manually without using code $($e$.$g$.,$ \ufeffusing the TDMA matrix method$).$