•Solve the equation by lagrange's and find special solutions? (y+z)p+yq=x-y z(x,1)=1+x

Q: (45)ds。(特)"- sa (49) 48 (xs) 1-1

A: The given integral is (x2+5x) /(x+9)1/4.

Q: T-200N =20kg (a) – eq.1 2T- 228N= 15kg (a) -eq. 2 SOLVE FOR T and a.

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Q: (c) xy" + y = 36x

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Q: Test for exactness and solve (6xy3 + 4x'y5)dx + (3x°y² + 5x*y*) dy = 0

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Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

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Q: Q1\ solve the equation: (x y + x² ) ỹ - y² = 0

A: NOTE-1 (According to our guidelines we can answer only  first question and rest can be reposted.)…

Q: -2xt5

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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: Use the variation of parameters to solve the given equation: (a) y" +4y=2cot 2x

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: μ (x, y)=xayb and find the general solution to the equation

A: Here we have to find out both integrating factor and general solution.

Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: the optim

A: Let point on the curve y=x is (x,x). Then the distance between the points (x,x) and (5,0) is…

Q: Sub: Date 4y +3 dy - 4y=x`+ e* d'y dx² dx

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Q: Solve using variation of parameters y" – y = e2=

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Q: By using charpit's method Solve 2. XPq+yq =|

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Q: Find a real root of the equation x³ – 2x – 5 = 0 correct to six significant digits and then…

A: Absolute error: Subtract the approximated from real value, gives us absolute error. Relative error:…

Q: (V# + yi - 2)dx + +yi – 1)đ /x² + y² d- |

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Q: Use the variation parameters method to solve: y" + 4y = sec2x

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Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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Q: (x² -2x9 dy Solve The firest orler oDe

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Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

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Q: For what values of the parameter d the equation (3 – d)x² + (d – 3)x -= 0 4

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Q: yete (t+3)− −¹+0 e Solve for y. ye-¹=(-t-4) et+C

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Q: Q2. (a) Let a and 3 be the roots of the equation x² - 4x + 2 = 0. Without solving the equation,…

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Q: f (æ) = 2x, g (x) = 4 – 5æ and h (x) = v4 – x? Perform the indicated operation then find the domain…

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Q: Solve y:4x°x5 if +2x+5. x=l when y=l0

A: Given

Q: (3x² + y kdx + (x – 4y)dy = 0

A: The solution is given as

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.