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

In this exercise we have to use the knowledge of ordinary equations to determine the linear equations, in this way we find that:

1) Linear

2) Non Linear

3) Linear

4) Non linear

So from the knowledge in topics of ordinary equations we find that:

1)

2)

3)

4)

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(1-x)y"-4xy'+5y=cosx

= Second order

= linear

2. t^5 y^(4) - t^3 y" + 6y =0

= Second order

= non linear

3. (d^2Y/dx^2) = sqrt ((1+(dy/dx)^2))

= Second order

= Linear

4. (Sinθ)y"'- (cosθ)y' =2

= Third order

= Non linear

Step-by-step explanation:

(1-x)y"-4xy'+5y=cosx

= Second order

= linear

2. t^5 y^(4) - t^3 y" + 6y =0

= Second order

= non linear

3. (d^2Y/dx^2) = sqrt ((1+(dy/dx)^2))

= Second order

= Linear

4. (Sinθ)y"'- (cosθ)y' =2

= Third order

= Non linear

answer: 370

step-by-step explanation:

remember use pemdas! there are no parentheses or exponents so lets move onto the first part of the equation: multiplication and division. first, lets break the first part of the equation up into something easier using the distributive property. 28 * 12= (20 *12) + (8*12) you know that 20*12 is 240 and 8*12 is 96. add them and you get 336. then, lets solve the last part of the equation (the last part of pemdas is addition and subtraction). 336 plus 34 is 370. hope this !