Solve the following equation y" – 64y = 0, y(0) = 1, (0) = 8

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: Form the differential equation by elimanating the arbitary constant A,Bvfrom y=Ae7x+Be-7x

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Q: How could the 1D heat equation represent physically?

A: We know that the heat energy of a body with uniform property is represented as; where c is the…

Q: For what value of x will the curve y = x3 – 3x2 + 4 be concave upward?

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Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 6. Substitute that time into either x equation to determine where the tackle will occur. 7. Who wins…

A: 6 Now, t=3 sec First we will enter this equation into  x=32-12tx=32-123x=32-36x=-4  Now, enter this…

Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)² %3D

A: 2 Given differential equation is y'=y+4x2......1. We have to find the general solution of the given…

Q: y = ce2t + Cze -3t y = ce-t/2 + cze¯ -2t

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Q: 1. Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 4

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Q: y" = 12x² %3D

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Q: To four decimal places, approximate the solution to the equation: e3z +3 = 6

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Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: ~2 _ dar,ך3-א 3זר) ד2?ו? .מ

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Q: The growth of bacteria in food products makes it necessary to time-date some products (such as milk)…

A: Given, ƒ(t) = 500e0.1t  t- in days f(t)- in millions.

Q: 3 X' -3 5

A: This question related to system of ode.

Q: Suppose in 2009, there were about 8 million Internet users in the Philippines. The number of…

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Q: If a projectile is launched vertically upward from the ground with an initial velocity of 80ft per​…

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Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: What is the general solution of the differential equation 2xyy' y? - 2x³ ?

A: We have to find the general solution of the given differential equation 2xyy'=y2-2x3 .

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

A: This question is about application of differential equation

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: We can use the application of derivative in order to solve the given problem.

Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

Q: 1 What is the family of the equation y %3D quadratic exponential linear

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Q: y'+4y +13y 0

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Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 5t = 0

A: I have given the answer in the next step. Hope you understand that

Q: y" + 3y = -48x²e3x

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Q: For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T . If your…

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Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = 8 1

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Q: y(4) 4х + 2хе %3D

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y - 5)2 %3D

A: The solution of an ordinary differential in the form of can be found by the technique of separation…

Q: Solve the differential equation. y' + 7xey = 0

A: Topic = Differential equation

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: What is the order of the differential equation which has a general solution given by y = Cie-2a +…

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given that  C = 0.001x3 + 3x + 432  To Find the number of units x that produces the minimum average…

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Answer all of the points with formulas and full procedure.  Given the quation y = -2x+22 : a)…

A: (1) Given information: The given linear decay function is y=-2x+22. Definition: The linear decay…

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: Given: yt=c1et+c2e2t-3tet+cost-e-t2          ...... (1) Solution: Differentiate equation (1) with…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

Q: Solve the differential equation. y' + 5xeY = 0

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Q: ry? V1+ x²

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Q: Under ideal circumstances, a certain type of bacteria can double every 10 minutes. If a sample of 17…

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Q: the beginning of 2000 to the beginning of 2007 the U.S. consumed gasoline at a rate approximated by:…

A: Given No. of years the beginning of 2000 to the beginning of 2007 = 7 So, t = 7 q(t)=2.0t+131…

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal? (SOLVE BY USING…

A: This is a basic derivative problem where we need to satisfy the given condition

Q: Solve the differential equation by undetermined coefficients: y" + y – 6y = 2.x.

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Q: 10. Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Given ,  We have to find the equation of the curve whose slope is the inverse of the sum of the…

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.