f= 2n(d+dz) solve for z

Q: Solve d4y/dx4= 5x by variation of parameters.

A: The answer is given as follows.

Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: dy 2. Solve for and simplify the result dr a y = (3r – 2)5(2r² + 5)© 5z – 1 2r + 3 c. y= I/A- rT 3…

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Q: Ql:- Solve 2+ y = 2 dx 1+x+y.

A: The solution for the above problem is shown below.

Q: S¥×(2x³ + 1)dx 3,

A:

Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: Solve for y ax=cy - z

A: Solve for y: ax=cy - z This can be done as follows:

Q: 4dx + (x — у + 2)?dy %3D 0

A:

Q: Solve by using Q RULE

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Q: Solve for all solutions to 2cos 2t = v3 %3D

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Q: Solve: xdy - (y + xy + xy²) dx = 0. %3D

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Q: Solve xdy + (3x - 2y)dx =0 in two ways. Write your solution on the space provided

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Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

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Q: Solve 3xy + y + x²y² = 0

A: To solve 3xy'+y+x2y4=0 we can write its as 3xy'+y=-x2y4 or y'y4+y3xy4=-x23x which becomes…

Q: (a) (x+ y)dx+x dy=0

A: We have to solve the given differential equation (x+y)dx+xdy=0.

Q: Use the method of reduction of order to solve the equations 2 (D²-1) ex - e-x

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Q: X 4 e =dx 1

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Q: Two students want to measure the acceleration a of a cart rolling down an inclined plane. The cart…

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Q: Find the value of J/2(x)

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Q: Solve (D? – 3D + 2) y cos (e-)

A:

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.