find the solution y' – 2y=4 , y(0) = 1 .a y=3e2t – 2 .b y=e2t – 4 .c y=e2t – 2 .d y=3e2t – 4

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: 2. ryy = y² – x²

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Q: Q4) Solve the D.E = *-**y²+2x* ya dx

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Q: Solve the equation 2. (2y² +2 In x + 1) dx +2x y²dy = 0

A: Consider the given differential equation as, 2y2+2lnx+1dx+2xy2dy=0

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: (D² +9)y=sec3x

A:

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

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Q: Solve for y: x³ + ¹y = xy + 7.

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Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

A: In the given question, the concept of the differential equation is applied. Differential Equation A…

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

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Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -Y2+33e-2t

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Q: Ql:- Solve 2+ y = 2 dx 1+x+y.

A: The solution for the above problem is shown below.

Q: y" – y = 2xe". Y' %3D

A:

Q: 4. y(4) + 17y" + 72 = 0.

A: To solve the following differential equation. y4+17y''+72=0

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: y = 2X-23 Y(o) =| -o い 0.3 sis o3 1る。

A:

Q: y = 2t + t2 – 2(In t)² d.

A: y = 2t + t2 - 2(lnt)2

Q: Consider the equation (y² – 2x)dx + (2xy + 1)dy = 0. The general solution is ... xy² – x² + y =€ A…

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Q: (D3+ 4D²+9D + 10) y= - 24e* when x=0, y=0, y'= - 4, y''=10

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Q: Solve the equation (6x + y²) dx + y (2x – 3y) dy = 0. - O xy? + 3x² – y³ = C O 3ry? – 3x² – y = C O…

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Q: 1 (d) Last week, Amy walked a median of 7.5 kilometres each day. 1 kilometre = 0.6 miles The table…

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Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: Find the solution. dy 2y dx A y = x2(x-c) -2 y = x³(x+c)3 y = x²(x+c)2 D y = x(x+c)

A: The form of Bernouli equation is dydx+Py=Q, where P, Q are the function of x. Divide both sides of…

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.