Given: 4y+3r =5; a = -6, y= 2, = 4 %3D dt =D4 dy Find: dt

Q: dz Find given: dt =ze, =t', y= 5+5t dz dt

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Q: In your words explain what is an integrating factor u(miu) for a linear equation y'+t(t)y=q(t). How…

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Q: Given the equation p=2x/y, find dy/dt

A: Using the properties of the logarithmic functions, it can be written that lnab=ln a-ln b. It is…

Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt…

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate…

Q: It is given that the DE y dx (ye' - 2x)dy is linear in x variable. The Integrating Factor of the…

A: The solution for the above equation is as shown below.

Q: 1?ei dt

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Q: Show that the equation is homogeneous and find its solution. dy/dx=x+y/x

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Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

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Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: Rewrite dx d?y + 3 +y: Sin t ニ dt? dt? dx -4X +S = Cost dz? dt

A: the approach follow:

Q: Solve the DE as follows: d²y dy +3+ +2y=24 y(0) = 10 and y'(0) = 0 dt? dt

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Q: Find an integrating factor and solve the equation у da + (3гy — e Sу) dy %3D 0. -

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Q: Find the value of dw/dt if w = x2+y2, x = 26 cost and y = 26 sint

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Q: Find the general solution for y(t) where, dy 10t dt y II

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Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | – 7 <y < 0,0 < ¤ < y, 0 < z < ¤ + y?} . Round your…

A: We have to find the above triple integral solution.

Q: Find for y = | 12t°dt. dx

A: Given: y=∫0x12t3dt

Q: If æ? + y? = 25 and dy/dt = 6, find %3D dæ /dt =

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: With the aid of an appropriate integrating factor, calculate the initial value of the equation…

A: We have to solve

Q: The differ ential equation 2 y e =0 is b. Linear homogeneOUS d. separable

A: The differential equation is given by y4x+2y'ex = 0 To evaluate : The type of differential equation.…

Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: We have given thatthe radius r and height h of a right circular cone are related to the cone’s…

Q: Find the general solution for y(t) where; dy a. dt + 6t?y = 2t2 dy b. + 10y = 0 dt

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Q: Use the method discussed under "Integrating Factor found by Inspection". xy(y? + 1)dx + (x²y² – 2)dy…

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Q: If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? |

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Q: Integrate the following (a )∫eπ31cos (lnt)/t dt   and   (b) ∫2y−11/ y^2−y−6 dy

A: (a) Given integral is ∫1eπ3coslnttdt Substitute lnt=u ⇒1tdt=du And limit of integration becomes 0 to…

Q: Does the equation e" (x + 1)dx + (ye" – xe")dy = 0 have an integrating factor u(y) depending on y…

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Q: The dimensions x and y of an object are related to its volume V by the formula V=8x^2y. How is dV/dt…

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Q: dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt

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Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: 2 dy + y? = ty %3D dt

A: We have to find the general solution of the given differential equation. We can rewrite the…

Q: solve the first order homogeneous  equation  dy/dx =y/x +(x/y) ^2 , given y(1) =2

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Q: Given a = 2 cost+35 and y =7sin t %3D dx dt dy dt |3|

A: Topic : differentiation

Q: Find the integrating factor of the equation, (2y2 6xy) da + (3.ry– 4x²) dy = 0.

A: To find out the Integrating Factor of the given differential equation.

Q: (xy+2)dx+(§x*y+8x-4y* )dy =0

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Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: One of the given equations is x = 5t + 5, so %3D dx dt The other equation is y = 7 - 2t, so dy dt

A: a) Find the differentiation of "x" with respect to "t".

Q: 1 Integrate by parts: |xcos x dx 3

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Q: d t sec(t) dt dx

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Q: The joint pdf of two variables X,Y is fxy(x,y)=ae **9) for x20, y20. Find the constant a. Are X and…

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Q: dy + y = ť°, dt

A: Given differential equation is: dydt+y=t2 The above equation is linear in y. The integrating factor…

Q: Find dy/dx if y = J' V1 + ² dt. Explain the main steps in your calculation.

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Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the integrating factor?

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Q: dy -2y 3cos3t – 11sin3t dt? dt

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Q: (b) / 6dt. 2. Find (a) * dt, (c) sin 3t dt, (d) e dt.

A: solution of the given problem is below using integration formula...

Q: Integrate to find the length of the curve. 8 S = 2 - + 4t dt 4 + 8 2t ++) dt = (? +t ln(t) 1 II

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