d'y dy dy +4 +5+2t = 10cost, %3D dt

Q: Using Method of Variation of Parameters (MVP), solve for the complete solution: d'y dy + 4 cot(2x)…

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Q: y(0) = 1. Supported with solutions, summarize your results in a table and also compute ɛ for %3D…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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Q: 4x2 +y d'y when = 2 and y = 1. 17 then evaluate %3D dx? (Answer accurate to two decimal places.)

A: This question can be solved using the concept of second order derivative.

Q: Integrate by parts: e* cos (12x) dx

A: To find the integrate by parts (e3xcos(12x))dx

Q: (ye*y – 2y³) dx + (x e*y – 6xy² – 2y) dy = 0; when x = 0, y = 2. ANS. e* = 2xy³ + y² – 3.

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Q: Equation is homogeneous ? (y²-2xy) dx=(x²-2xy) dy True / False ?

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Q: Solve the given IVP. Given : (x+1)dy/dx +y = lnx                           Given : y(1) = 10

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Q: Use separation of variable to solve and largest interval I over which the solution is defined. IV.…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find  when y = sin x.

A: Consider the following equation:

Q: Consider the following. dy - - X dx %3D

A: given equation is, dydx=-xy

Q: 4. dx + 2x = 2 x²y²dy %3D

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Q: solutions using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

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Q: pol DA 4. x dy + y dx = 0 (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

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Q: 5x S dx -S Insdx 4-5x+1 4- 5*+1 - -5".5 Ins rt du -t In clns) sns dx

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Q: Given 12 csc (6x) Cot (6x) dx Step 2 How are these values înserted into the Cot (62) equation in…

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Q: a/4 32. The value of xcos(x') dx correct to three decimal places ( assuming that p = 3.14 ) is

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Q: 28. (ху? + х — 2у + 3) dx + x*у dy 3 2(х + у) dy; when x — :1, у %3D 1. ANS. (ху — 2)?+ (x + 3)2 —…

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Q: dy 32) Solve dx xy COS x sin x - y(0) = 2. y(1-r) x ||

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Q: dy = ( x - 3y)dx

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: 6. (2x + 3y)dx + (y- x)dy = 0 x)

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Q: Diffential Equation by Substitution:   DE (x+2y-1)^2 dx = dy

A: We have to solve differential equation.

Q: LIS 0 0 √1-2² 0 4z e dx dz dy

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Q: • Find so lutions usino Ex act Equations 1.) solve (ysinx t xycosx) dx + (Xsinx + 1)dy=0

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Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

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Q: To integrate 3x² e4² ΟΧ dx' we apply integration by parts and in the form u dv, u is set as:

A: ∫x3ex2dxTo do integration by parts we have to get it in the form ∫fg'

Q: dx x-y dy dx (Separation of variable) %3D dy

A: To find :- General solution of given differential equation Given :-

Q: 1. Using Euler's method, find an appropriate value of y corresponding to x=1.4, given dy = xy and…

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Q: dx Given x+y3= 3x+3y and 3D8, the value of dt dy when x 7 and y = 7. dt Note: Give your answer…

A: Explanation of the answer is as follows

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: dy -. Find using any method. Express your answer in dx Let y = 67cos -e" %3D terms of x only. dy %3D…

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Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Given:  The number of cars produced when x dollars is spent on labor and y dollars is spent on…

Q: While integrating J Inx dx by integration by parts we get the value of v = а. 1 O b. Inx O c. 0 O d.…

A: The given integral is ∫lnxdx. The rule for integration by parts is given by ∫udv=uv-∫vdu. We have to…

Q: Using modified Euler's method; Find the value of y where x=1 with h=0.25 from the following…

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Q: dy Use Picard's method to solve dx -xy, y (0) = 1 Find y3(1)?

A: Given :dydx=-xy =f(x,y)y(0)=1

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

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Q: A. Assimilation (Time Frame: Since we already presented S sin x dx and ſcos x dx, we can now do the…

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

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Q: classify and find general salutin of di ffeten tind equation :- (l-2x² tany) dx - (x³sec_y ) dy=o '

A: This is a first-order differential equation. We will assume some variable for tany and can solve…

Q: 1 y = [cosh(2x)]°or¯*( cot-1 3 VX

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Q: 6. Solve the initial value problem. ( tan (4y) - 1)dx + | 4x sec (4y) + dy = 0, y(0) = 1

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Q: cos(2x-1) 1. S dx (Integration by Parts) ex

A: Given

Q: dy y sin x y(0) = 1. dx 1+ 8y4'

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Q: (2x2 + 3у? — 2)dx — 2хy dy %3D 0

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Q: Obtain a solution to this linear equation. dx − (1 + 2x tan y) dy = 0

A: Given that: dx − (1 + 2x tan y) dy = 0

Q: Q3/ Solue The Following Simul taneous equatron -y + Sin t + Cost %3D dt where x (6) = 1 ,x') =0,…

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Q: (please answer complete solution) * Integrating 1Factor * Test for exactness and find the general…

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