3. Verify that the indicated function is an explicit solution of the given differential equation. State an appropriate interval I for each solution. dy a. dx * =y +25; y = 5 tan x b 2xydx + (x2 - y)ay = 0; -2x3y +y² = 1

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: The givne differential equation is tanxdx+tanydy=0

Q: dy/dx + v/ Ex tv/

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: I. Solve the following linear differential equation. 1. dy/dx + y/x = x 2. dy/dx + (x+1)y =x

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: cosh3x2y-lnexy+1=0 Differentiate both sides sinh(3x2y)·32xy+x2dydx-exyxdydx+yexy+1=0Isolate dydx⇒…

Q: Given the differential equation: D°(sin x- cos x+ 3e* +x²) What is the final derivative in the given…

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Q: dy dx Solve the differential equation ycotx = y²sin²x

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Q: Q3: Solve the given Exact Differential Equation (Cosx Sinx - xy?)dx + y(1- x2)dy = 0; y(0) = 2 %3D

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Q: dy <ニ0i4 cin メ+ cosxe 6. 2 cos X =

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = xy

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: 3. Solve the following differential equation: d³y + 9 dx? + 13y = 0 - dx3 dx

A: The given differential equation is homogeneous linear differential equation with constant…

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.