solve the given initial-value problem dy 9. +у %3 cos 2r, у(0) — 5 y(0) = 5 dt

Q: Find the exact solution y to the initial-value problem dy/dx= x y^(1/2), y(1) = 4.

A: It is exact solution to the initial value problem.

Q: Solve the given initial-value problem. (y? cos(x) – 3x?y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

A:

Q: , solve the initial value problem.

A: dydx=yln y1+x2

Q: Solve the following initial-value problem: 3 dy +y2 = 1, y(0) = 4 dx

A: Given information: The differential equation is  y12dydx+y32=1 and the value y(0)=4

Q: Solve the initial value problems dy/dt = 1/2 sec t tan t, y(0) = 1

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Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: Solve the given initial-value problem: dy/dx =(y2 − 1)/(x2 − 1), y(2) = 2

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Q: Solve the given initial-value problem. (x + y)2 dx + (2xy + x² – 2) dy = 0, y(1) = 1

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Q: Solve the initial-value problem. dy + 31?y = 2 cos(t), y(7) = 0

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Q: Solve the given initial-value problem. (x + y)2 dx + (2xy + x² – 4) dy = 0, y(1) = 1

A: This is a question related to differential equation. Based on the general formula and integral…

Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: Solve the initial value problems dy/dx + xy = x, y(0) = -6

A: Now comparing with

Q: Solve the given initial-value problem. ydx+x(lnx-lny-1)dy=0,     y(1)=e

A: Givenydx+x(lnx-lny-1)dy=0    y(1)=ewe have to slove DE

Q: Find an explicit solution of the given initial-value problem. dx 4(x + 1), x(7/4) = 1 dt

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Q: 5. Find the solution of the given initial value problem. ty' + (t + 1)y = t, y(ln 2) = 1, t > 0

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Q: Solve the initial value problems ds/dt = 1 + cos t, s(0) = 4

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Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^9x, y(0) = 10e

A: Given. dy/dx = ye9x  => 1/ydy = e9xdx

Q: Solve the initial-value problems dy y(1) = 2 dx dy = cos t + 1, dt 2

A: To solve the given initial value problems

Q: Find the particular solution for the initial value problem.

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Q: Find an implicit and an explicit solution of the initial value problem: y? – 1 dy x2 – 1' y(2) = 2…

A: Given differential equation: dydx=y2-1x2-1 ,  y(2)=2

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

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Q: 21. dy 2xy = 3y, y(1) = } dx

A: First we convert the given Bernoulli differential equation into linear differential equation, after…

Q: 5. To solve the initial value problem dy t + y(t) = t sint, t> 0 y2) = 1, dt a. Find the…

A: Given,

Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6

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Q: dy +xy = xe*/2 dx 7. Solve the initial-value problem: y(0) = 1.

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Q: Find the solution of the given initial value problem- dy y = xe", y(1) = e - 1, x > 1 dx

A: The given initial value problem is  dydx-yx=xex, y1=e-1. Find the solution of the initial value…

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

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Q: Solve the given initial-value problem. (y? cos(x) – 3x²y – 2x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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Q: Solve the given initial-value problem. (x + y)* dx + (2xy + x- 7) dy = 0, y(1) = 1

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Q: Solve the initial value problems dy/dx = (x + 1/x)2, y(1) = 1

A: The given differential equation is dydx=x+1x2.

Q: Solve the initial value problem. 5x dy = 0, y(2)= 1 4xy + 4xy dx

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Q: Solve the given initial value problem. dy + dx 1 3 xy-3, y(1) = 0 4x

A: Use substitution y^4=v and find integrating factor

Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: Find an explicit solution of the given initial-value problem. dy_y²_ 1 = y(4) = 4 dx 1 ||

A: The objective of the question is determine solve the differential equation.

Q: Solve the initial value problem. 1 dy y cos 0 Ө dө - У(п) — 1 y' +1

A: this can be solved by separation of variable.

Q: e given initial value problem ㅠ + cos(3y) dy = 0, y (7) = 3

A:

Q: Solve the initial value problems dy/dt = 8/1 + t2 + sec2 t, y(0) = 1

A: To Determine: Solve the initial value problems Given: we have…

Q: Solve the given initial-value problem. dx y = 5y², x(9) = 1 dy

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Q: Find the exact solution y to the initial-value problem dy = zy/2, dr y(1) = 4.

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Q: Find an explicit solution of the given initial-value problem. dy/dx = y2-1/x2-1 , y(8) = 8

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Q: Solve the initial value problem. dy +y = 10 cos 0, 0 > 0, y(x) = 1 op

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Q: Solve the given initial-value problem. x(dy/dx) + y = 2x + 1, y(1)=7

A: Calculation:Rewrite the given equation as y’ + (y/x) = (2x + 1)/x.The above equation is observed to…

Q: Solve the given separable initial value problems 1)dy/dx=-2     y=3 when x=0

A:

Q: 1. Find the solution of the given initial-value problem: dy + 6 + 8y = e, y(0) = y'(0) = 0. di? dy…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 1 3 y =7xy¬³, dy У(1) 3 0 dx 4х +

A:

Q: Solve the initial value problem: (e + y) dx + (2 +x + ye") dy = 0, y(0) = 1

A: We have to solve the initial value problem…

Q: Find the implicit solution to the following initial-value problem: (ex+y)dx+ (2 +x+yey)dy= 0,…

A:

Q: 3. Find the solution of the given initial value problem. dy y = xe", y(1) = e – 1, x > 1 | dx

A: I am attaching the solution of question (3) only.  The solution is, y = x(ex - 1)  The detailed…

Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…

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.