IP kL² In t, L(1) = -1 dt

Q: Find the particular solution of the differential equation that satisfies the initial conditions.

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP = 5V…

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Q: Find the particular solution of the differential equation that satisfies the initial conditions.

A: The given differential equation is in variable separable form. Hence, an be solved using simple…

Q: Find the general solution of the differential equation dy/dx = 2.

A: dy/dx = 2 Integrate both sides w.r.t x to get: y = 2x + C where C is the constant of integration

Q: Find the general solution of the differential equation.

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Q: 5. y" + 8y + 16y = 0

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Q: A. Obtain the differential equation of the given solution by eliminating the arbitrary constant(s):…

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Q: Find the general solution of the differential equation 2 = -5(y – 3). dy %D dt

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt =…

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Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: Solve the given differential equation with initial condition.  y' = 4y, y(0) = 0

A: We rewrite the differential equation as dydx=4y. Now dy4y=dx⇒∫dy4y=∫dx⇒14∫dyy=∫dx⇒14 ln y=x+C1⇒ln…

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: 2tds + s(2 + s²t)dt = 0

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Q: Find particular solution to the differential equation, given initial conditions f" (x) = 5x² + 6x,…

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Q: Solve the given differential equation with initial condition.  y' = 3y, y(0) = 1

A: Given: y' = 3y,  y(0) = 1 To solve: The given differential equation with the given initial…

Q: Eliminate the arbitrary constant of the given equation in order to transform it into a differential…

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Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy…

Q: dy 3x + 2y y(- dx 3x+ 2γ +2 '

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Q: Solve the differential equation, subject to the given initial condition. dy + 4y = 5x²; y(2) = 21 y…

A: we need to solve the given initial value differentialequationxdydx+4y=5x2  ; y(2)=21The solution is…

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: The solution of the separable differential equation = (1+y²)x is: %3D dx

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Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2…

A: This question is based on solution of differential equation.

Q: Find a particular solution to the differential equation y" + Oz/ – 16y = -768t°.

A: Given: y'' + 0y' - 16y = -768t3

Q: dx at + tx + = 0

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Q: Solve the given differential equation with initial condition.  y' = 2y, y(0) = 2

A: given,             y'=2y       and y(0) = 2

Q: Solve the given differential equation with initial condition.  y' = y, y(0) = 4

A: Given : y' = yy0 = 4

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: On integrating, we get

Q: Solve differential equation, subject to the given initial condition.

A: Given,

Q: Solve the differential equation. dz + 6e+z = 0 dt z = -In( · C) Need Help? Read It

A: We have to solve the differential equation .

Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential…

Q: dx + dy = 0

A: The given differential equation is dy+dx=0  .............................. (1)

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =…

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Q: The solution of the differential equation + 2y = a is, Oy = +c Oy= Oy = Oy= T

A: The objective is to find the solution of the differential equation.

Q: Find the solution to the differential equation x y y' = 2 satisfying the initial condition y(e) = 4.

A: To solve the following problem by seperation of variable and using the boundery condition to find…

Q: Consider the autonomous differential equation, without solving, sketch what the solution curve would…

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Q: Find the general solution of the first-order linear differential equation. +3y=6 dx

A: Let the given differential equation is: dydx+Py=Q where P and Q are functions of x (or constants)…

Q: Find the solution of the differential equation that satisfies the given initial condition. dP 5V Pt,…

A: Given query is to solve the initial condition differential equation.

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: Given,  f'(x)=6x, f(0)=7

Q: Solve the differential equation

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Q: Solve the given differential equation by separation of variables. dP = p-p² dt

A: The given differential equation is: dPdt=P-P2 We have to solve the given differential equation using…

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: Solve the given differential equation by separation of variables. dP/dt = P - P^2

A: Solve the given differential equation by separation of variables. dP/dt = P - P^2

Q: Find the solution to the differential equation dB + 3B = 90, dt %3D with B(1) = 100 B =

A: We know, ∫emxdx=emxm, for any real number m.   Given differential equation, dBdt+3B=90....(i) with…

Q: Find the solution of the differential equation that satisfies the given initial condition. dP =…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: Given:        dydx= 14+x2…

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy/dx=…

A: dydx =7xey       ;  y(0)=0                                                    (1)   Formulae used:…

Q: yV + 16y = 0

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Q: dx (1+1)-+x=t. dt

A: The differential equation is given as (t+1)dxdt+x=t It can be rewritten as dxdt+xt+1 = tt+1 It is a…

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.