Use the four-step procedure for solving variation problem to solve: y varies jointly as x and z. y = 25 when x = 2 and z = 5. Find y when x = 8 and z = 12.

Q: xy' = (1 – y?)!/2

A: Variable separable method: solution of the first order differential equations

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A: Given that, y varies directly as x and inversely as the square of z so, Where k=constant

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Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

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Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x. y = 45…

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Q: Y varies jointly as x and the square root of z; y=48 when x=2 and z=36. Find y when x=3 and z=25.​

A: Vv

Q: 2. Solve the equation using Variation of Parameters: y" – 5y' + 4y = x .

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Q: y varies directly as z and y = 192 when z = 16. Find y when z is 13.

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Q: If y varies directly with x and y = -- when x = 4 when x = 5 find 8. Write and solve a direct…

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Q: Find the variation constant and an equation of variation where y varies directly as x and y equals…

A: y varies directly as x , so we can write y=kxwhere k is variation constant.

Q: The value of y varies as the cube of x, and y=1 when x=10. What is y when x=5?

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Q: The variables y and x have a proportional relationship, and y = 24 when x = 16.   What is the…

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A: the given differential equation is y" + y' = x

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Q: solve for the specific variable j= pw2/ t, for t

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Q: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

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Q: Given that y varies directly as the square root of x and y = 6 when x = 9, find the variation…

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Q: 5. If A varies directly as r and A = 33 and r= 11, find the equation of variation.

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Q: Find a direct variation model that relates y and x. x = −28, y = 4

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Q: If y varies indirectly as x and y is 6 when x is 36, find the constant of variation

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Q: Use the four-step procedure for solving variation problem to solve: y varies inversely as x. y = 12…

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Q: Suppose that y varies directly with x, and y=5 when x= 20. (a) Write a direct variation equation…

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Q: Use the procedure for solving variation problems to solve the exercise. y varies jointly as a and b…

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Q: varies inversely with the cube of x. When x = 9, then y = 1. Find y, when x = 1?   Y = ?

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Q: The value of y varies directly with x, and the constant of variation is 6. What is the value of x…

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Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as a and b and…

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Q: Suppose that y varies directly with x, and y3D12 when x=15. (a) Write a direct variation equation…

A: 1.according to questiony α xor y=kx     where k is constantgiven y=12 and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.