d'y + 3 = 0 dz3 dz? hp

Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: In the given equation as follows , find dy/dx:- see the equation as attached here

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: NOTE: Enter the exact answer. 3 2. 4-y y dx dy 1 2Y

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Q: Use this equation to find dy/dx for the following. y +r'y' = 7+ yc* dy dx

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Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: Given x 12 sint + 30 and y= 12 cost +34 || %3D dx (i) dt dy (ii) dt

A: Apply here chain rule

Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: NOTE: Enter the exact answer. dy dx

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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: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: dy = y? – 4 dx

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Q: (x** ye) dx + zy dy

A: To Solve for the general solution of the following first order differential equations.

Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

Q: dy ,2,,2 1. х + 3y = x?y? dx

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Q: Solve the following Bernoulli equation: dy dx = 4y-2 y?

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Q: Which one is an exact equation? (Зуш? — 1) dar + (2a3 + 3у) dy — 0 2у(а + у + 2)dx + (у? — а? — 4г —…

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Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

Q: 1. (x + y) dx + (:

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Q: L, Ix|e(1+x³) dx

A: Given integral, ∫-11xe1+x2dx

Q: Integrate the following. Show your detailed solution. 1. S sin 30 d0 2. ſ csc 5t cot 5t dt

A: The objective of the question is integrate given data .

Q: 3. ( 3x + 2y +7) dx + ( 2x – y )dy = 0

A:

Q: dx- In x + CO

A: ∫1xdx=ln(x)Add a constant to the solution=ln(x)+C

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: Eva luat at the given Value of t; 上 W= X+y x =cost tsits y ecst-Sint

A: Solution: The objective is to find the derivative of the given function

Q: (бх + у?)dx + (2ху — Зу?)dy %3D 0 уз 3.

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Q: Please answer number 4. Solve the following differetial equations:

A: We have to solve the differential equation

Q: sec'x dx + tanx sing dy ? cory stanx

A: The differential equation is 3tanx-2cosysec2xdx+tanxsinydy=0 find the solution.

Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

A: We are asked to find the value of a.

Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: (cos(a*)) dædy

A: Given: The integral is ∫04∫y1cosx3dxdy. The limits of the integral is, x=y to x=1 y=0 to y=4 The…

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: 7. (1+ 2e"/»)dx + 2e*%» (1-) dy = 0

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Q: 10. v(dv/dx) = g; when x = xo,V %3D

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Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: 7. dy = (x – 3y)dx

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Q: 8. (y + 1) dx + (4x – y) dy = 0

A: Given Equation is y+1dx + 4x-ydy = 0

Q: Calculate dy dx.

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Q: sec?y dx? – csc²x dy? = 0

A: The given differential equation is sec2 y dx2-csc2 x dy2=0, which can be simplified as follows: sec2…

Q: dr + (2r cot 0 + sin 20)d0 = 0

A: Let's find.

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: - L e*y dx dy dz 't

A: To solve the triple integral with four decimal places.

Q: Find the general solution of the following equations? X dy/dx + sinx - y =0

A: Non elementary integral: The integrals which do not have a solution can be represented using…

Q: = y° dy dx

A: