Q #03 by using be ta function Solve 2/13 dx

Q: Solve d 4me-m2 dy dm

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

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Q: The concentration of acid in a battery is given as a function of time by dx/dz = 37.5 - 3.5x At…

A: The differential equation given is as follows: dxdt=37.5-3.5x The initial condition is x0=50g/L. In…

Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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

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Q: dy O. Solve for dx a²y³ = 2x

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Q: hp (fh. Solve yda = (x - Vay) dy %3D

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Q: A population of bacteria is growing according to the equation P(t) 300e0.18t. Estimate when the %3D…

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Q: e 3. dx V1-e-2* In 2

A: Since we are given with the multiple number of question and kindly repost the other question as next…

Q: dy ху Solve dx (1+y2)

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Q: | 8. Solve the equation: dy/dx = x²e-4x – 4y.

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Q: 2. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s , its height ( in meters)…

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Q: Solve the (x²+3X +Z) dx 4.

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Q: 6) At time t = 0, a diver jumps from a diving board that is 12 feet high with an initial velocity of…

A: The driver's position at time t is given by: s(t)=-16t2+16t+12

Q: Solve what is asked: The position of a particle is given by the equation 3(x+3t) 6(x+2), x is in…

A: 3x+3t=6x+2   3x+9t=6x+12          3x=9t-12             x=3t-4 1) The average…

Q: Find the وه وله dy dx² Please solve in a quarter of an hour please + d9 - 129 - 0 ) ا - (۹۲۰ (0) - 2

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Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

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Q: [2 f(x)dx= 10 If then equals ?

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Q: Q1/ Solve the D.E. by variation of parameters x"+ 4x = sin 2t %3D

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Q: Q4) Solve the D.E y+2x* dx ya

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Q: x dx 1) S 1-2x

A: As there are multiple questions, 1)  is solved here.

Q: dx J (5 + x5)2

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Q: dy +ycotx-cosec x. dx Solve

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A: Simple integration problem....

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Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

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Q: 1. S dx x² -1

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Q: 2 /x_ e-x/4 dx, T20

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Q: KO 1. Solve the equation: (x + xy²) dx + exp(x²2)y dy = 0 %3D

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Q: Solve the equation J =dx = ! - 1

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Q: Q3: Solve the equations sinh 3x a) S 4+2 cosh 3x 3 sinh 5x dy find dx b) If y = 4x2 c) 5 cosh x +3…

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Q: Solve (x-y)dy=ydx

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Q: Q.3 Solve (e* + 1)ydy = (y + 1)e*dx.

A: This is separable differential equation

Q: dy Solve x -3x²-2xy+1 dx

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Q: What is the general solution of dx? (1– 2e3 )2

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Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx

Q: Solve Legendre equation (x + 1)2 dx² ´d²y' + (x + 1) Y (2x + 3)(2x + 4) dx

A: Consider the provided question, x+12d2ydx2+x+1dydx=2x+32x+4     x+12y'' +x+1y' =2x+32x+4…

Q: Q3: Solve the following equation using Runge Kutta Method to for the range 1.0(0.1) 1.5 , given that…

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Q: Q4 (a) Evaluate by solving the work for (i) Só xe-*dx. -5 29-3x ·dx. x2-x-6 (ii)

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Q: dx 2. when X=4 y =1

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Q: How do you find the local max and local min of this problem?

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Q: Solve the equation. dx 3 dt t+ 6x хе

A: We have to solve given problem:

Q: Se"dy 3.

A: We have to solve

Q: 3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

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Q: Solve for GS: (D⁴+5D+4)y = cos (3x+4)

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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.