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State the order of the given ordinary differential equations. Determine whether the equation is linear or nonlinear.

State the order of the given ordinary differential equations. Determine whether the equation is linear or nonlinear. 1. (1-x)y"-4xy'+5y=cosx
2. t^5 y^(4) - t^3 y" + 6y =0
3. (d^2Y/dx^2) = sqrt ((1+(dy/dx)^2))
4. (Sinθ)y"'- (cosθ)y' =2

Final answer:The given differential equations are analyzed to determine their order and linearity/nonlinearity.Explanation:1. The given differential equation is (1-x)y''-4xy'+5y=cosx. The order of the equation is 2, which is determined by the highest derivative present.2. The given differential equation is. The order of the equation is 4, which is determined by the highest derivative present.3. The given differential equation is. The order of the equation is 2, which is determined by the highest derivative present.4. The given differential equation is (Sinθ)y''' - (cosθ)y' = 2. The order of the equation is 3, which is determined by the highest derivative present.From the above equations, we can determine that equations 1, 2, and 4 are linear, while equation 3 is nonlinear.Learn more about Differential equations here:brainly.com/question/33433874#SPJ3...

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