30. 13 di +4r* =1?.

Q: find the general solution of the pictorlal differential equation.

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Q: it is placed outside. In 5 min the thermometer reading is 60°F. later, it is 55°F. Find the outdoor…

A: According to Newton's Law of cooling : The rate of change of temperature of a body is directly…

Q: (2v2 + 4u2v)du + (4uv + 3u³)dv = 0

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Q: Solve linear equation. x/4 = 2 +(x - 3/3)

A: LCM of the denominators 4 and 3=12, so multiply both sides by 12.

Q: Starting from x = 1, one step of Newton-Raphson method in solving the equation x³ + 3x-7 = 0 gives…

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Q: Let y be a solution of the differential equation V = +3, where x > 0, y > 0 2ay such that y(2) = 6 .…

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Q: 2 Solve for y. 3y-9 y = y+12

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Q: a) x* = x*y - y

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Q: 2. (s-s?- t?)ds + (t + s² +t ?)dt = 0 %3D

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Q: Solve for t. Give exact simplified answer(s). (e-2t + 6) (e-5t - 13) = t =

A: Given query is to simplify for t.

Q: Solve the equation. 2/3-x/5=4/15

A: Given equation

Q: Find an 4.6. (3x²y + 2xy + y³) dx + (x² + y²) dy = 0 integrating factor and solve the following…

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Q: B Electrical condenser An electrical condenser with initial charge Q, is allowed to discharge.…

A: Given equation is: Q=Q0ekt We have to solve this equation for t.

Q: Solve the equation 4(x) = 8. Write down Di and solve the equation l (x) = 5.

A: The given functions are f(x)=4x2-5x+1g(x)=22-x2-xh(x)=-12x+3l(x)=log4(x+3)-log4(x-2)

Q: Solve the differential equation. dy 6-5y 14x° e dx %3D The solution is (Type an equation.)

A: using variable separation method

Q: x2+y2=z2  for y>0 Solve for y. Express your answer in simplest and exact form.

A: We have given equation  x2+y2=z2 for y>0 y2=z2-x2 y=z2-x2 As y>0 y=z2-x2

Q: dp. +3p=2 do

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Q: 4. Find the differential equation of a family of parabolas with axis parallel to the x- axis.

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Q: Give a non-trivial example of an equation that has the solution x=−3/7.

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Q: 10. y'- (у -у?) соos x%3D0

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Q: Solve ∆ABC if a = 0.283, b = 0.178, and α = 121.624◦

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Q: Q2/ solve to find y and x, take y(0)=0 and x(0)=0 ý + y - 0.5x = 0.5 %3D i + 0. 5x = 0. 5 %3D

A: In the question, two first order linear ordinary differential equation is given.   And the equation…

Q: Az Solve j=1(a-3).where r and "a are constant.

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Q: d²x 3. + 2x - x = 0, %3D dr (8x(0) = 1, x'(0) = 1; x(0) = , x'(0) = –1 %3D %3D %3D

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Q: Solve e = 1 + V3i ƒor all values of z

A: Given equation is ez=1+3i. We have to solve ez=1+3i for all value of z. Multiply and divide by 2 in…

Q: equation

A: We have to write the linear equation of the given conditions

Q: y" – y = 2xe". Y' %3D

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Q: Erercises. Find the general solution, and if an initial value is given, solve the IVP: (6) y" +3y +…

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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.