Decide first if the following Differential equation is exact. If exact then find the solution z(1 – sin y)dy = (cos z – cos y – y)dz

Q: 4. Find the general solution of the differential equation dy + y cot r = 1, dr COs z recalling that…

A: We can find the answer as below

Q: given the differential equation dy/dx +y^2 = sin(2x) with initial condition y(0)=1 find the values…

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Q: Find the particular solutions of the given differential equation dy dz 2 cos a sin a given y = 1…

A: 1. Sin(2A)=2sin(A)cos(A). 2. Sin²A+Cos²A=1.

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 8( y – x2 )dx + xdy…

A: We need to solve for the value of “C” on the given differential equation. Also, y(1)=1 8( y – x2…

Q: Ify = ecos(x), then which of the following differential equation is true? A y" = y' cos(x) – y…

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Q: Find the solution of the following Differential Equations By Exact 25) 2 sin(y)dx + cos(y)dy 0, y(0)…

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Q: You are given the differential equation (D +9)y=t cos(t), where y(0) = 0 and y (0)= The general…

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Q: It is known that y=A sin t is a solution of the differential equation y″+ 16y = 0. Find the value(s)…

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x) sin(y)dy 7)…

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Q: · Find the solution of the following Differential Equations .by Exact sin(y)dx+cos(y)dy = 0 ابن عمار…

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Q: Show that given differential equation is exact and hence solve it (y sin z)dr - (y+y+ cos a) dy = 0,…

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Q: Find the solution of the following differential equation. 1. (e + Iny + -) dx + + Inx + sin y) dy =…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 7 ( x5 + y)…

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Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y' + 17y…

A: We find y" using the chain rule

Q: Determine the solution of the differential equation dy y cot x = cosx dæ

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Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cos y – 2y)dy = 0 %3D

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial differentiation and integration is used

Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y" + 16y…

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Q: Find the solution of the following Differential Equations By Exact 19) ycos(x)dx+ 2 sin(x)dy 0

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Q: Given that y = sinx is an explicit solution of the firstorder differential equation dy/dx=√(1−y^2).…

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Q: It is known that y =A sin ωt is a solution of the differential equation yn + 16y =0. Find the…

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Q: verify that the given differential equation is exact and then solve it   (e^x siny+tany)dx+(e^x…

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy %3D

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Q: (b) Determine whether the given differential equation is exact. If it is exact, solve it. ) dy +…

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Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sin x, y0=5, y'0=2y

Q: 8. (6xy + cos s y) dx + (2kxy² – x sin y) dy = 0 %3D

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Q: 10. Verify that the given differential equation is exact; then solve it. (8 cos x + In y)dx + dy = 0

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 9( y – x² )dx + xdy…

A: We have to solve the differential equation 9y-x2dx+xdy=0. To find the value of C, given  y(1)=1.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: For what positive values of k does the function y = sin(kt) satisfy the differential equation y" +…

A: Given: The function y=sinkt satisfies the differential equation y''+324y=0 . The function y=coskt…

Q: Decide first if the following Differential equation is exact. If exact then find the solution (r –…

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 ( x³ + y) dx -…

A: Given differential equation x5+ydx−xdy=0 We have to find the value of C and the general solution of…

Q: y' = x sin? y Ans: 2 cot y – x² = c

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Q: You are given the differential equation (D+9)y=t cos(t), where y(0) 0 and %3D y (0)= The general…

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation ( 2% ty cos x) dx + sın x dy = dy = 0

A: The given differential equation,      2x+y cosxdx+sinx dy=0

Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy 7)…

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Q: Find the solution of the following differential equation. 1. (e + In y +) dx + ( + In x + sin y) dy…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: verify that the given differential equation is exact; then solve it. 37. (cos x + In y) dx +(÷+e" )…

A: Given, the differential equation is Verify that the differential equation is exact and then find…

Q: y' = cos?x cos y %3D

A: Explanation of the answer is as follows

Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1   (x5 + 7 y) dx –…

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Q: The following equation is not exact but it can be changed into exact differential equation (x +…

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Q: Find the solution of the following differential equation: dy + 3y : sin(x)

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Q: equation

A: Given is the differential equation (x5 + 3y) dx – 9 xdy =0 with y(1)=1. The objective is to find the…

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 11 ( x5 + y) dx -…

A: For our guidelines for multiple questions,answer only first question ,repost the second question

Q: By using the substitution z = cos y, show that the differential equation dy cot y dx X can be reduce…

A: Given differential equation,dydx - cot yx = e3x cosec y

Q: Find the general solution of the following differential equation: (sin x)y' + (cos x)y = ex Then…

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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.