The solution of following Differential Equation y[(1+)+ cosy =x sin y-x- Inx ,is: dx dy

Q: 2. Solve the Second order differential equation d'y dy -4 +11y=e* sin 4x. dx dx?

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Q: Solve the following differential equations of -cos(y)·y'+sin(y)=x Linear Differential Equation

A: Let's find.

Q: Consider the following differential equation y/ + = sin(x) What is the general solution

A: Consider the given differential equation

Q: Find the general solution to the following nonhomogeneous differential equation using the method of…

A: The given nonhomogeneous differential equation is y''+4y=cos3x. Calculate the general solution of…

Q: 4) Find the general solution to the following differential equation y" + y = tan(t)

A: Find first homogeneous solution y''+y=0. The roots of auxiliary equation m2+1 is  m=±i Then…

Q: Consider the following differential equation y' + \frac{y}{x} = cos(x) What is the general…

A: According to the given information, it is required to solve the given differential equation.

Q: Which of the following differential equation has a solution of y = e"(c, cos 2x + c, sin 2x) ?

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Q: 3. Find the general solution of this separable differential equation. dy y cos x dx sin x + 2

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Q: 2. Find the general solution to the following differential equation: (2x – 8x) sin(In y)y' = x + 3.…

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Q: Consider the following differential equation, cos(y) + (1+e-*)sin(y) dy dx Show that the general…

A: Given: cosy+1+e-xsinydydx=0 Use the variable separable method to solve the given differential…

Q: The complementary solution of following Differential Equation y-3y"+4y' -2y e+ cos x

A: To find the complementary solution, we consider Homogeneous part of given differential equation…

Q: Solve the non-Linear differential equation cOS y dy = sin y(1 – O sin y).given that y(0) = 4.

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Q: Solution of the following differential equation dx - = sec²2y dy will be а. у %3Dtan2x + с b. 2x…

A: To solve the differential equation Use variable separable method

Q: Solve the following first order differential equation using Bernoulli's equation x²y – x³ = y*cos(x)…

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Q: The solution of the following non exact differential equation (y + y² cos x) dx + (2x + 3y sin x)dy…

A: e^(logx)=x

Q: and the differential equation M (x, y)dx + (sin x cos y – xy - e-)dy = 0 is exact. |

A: It is exact differential problem

Q: (a) Find the particular solution of the following differential equation by using the method of…

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Q: y' + }xy = sin(x 4e¤2 y3 1

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Q: xdy - (y + x² cos(x)) dx = 0

A: xdy-y+x2cosxdx=0xdy-ydx-x2cosxdx=0xdydx-y-x2cosx=0dydx-yx=xcosxFirst order linear diff. eq.

Q: 1. Solve the following Exact Differential Equation : dx 3 1 (2?y3 - + y = 1 1+ 9x2' dy

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Q: The equation, sin y-2 sin(2) sin(2y) y+ cos z + 2acos () cos(2y) = 0 is an exact differential…

A: We have to solve

Q: y' + y² = 3y tan x tan? x + 1

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Q: sin x sin y dx + cos x cos y dy = 0 %3D

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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: Find the implicit solution of the differential equation (1+sin(y))dx + (1+x cos(y))dy = 0.

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Q: 4. Find the solution of the following differential equation dy_tan'x* sec*x Зу, x>0 x- dx

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Q: find the general solution of the given differential equation. 7.y″ + y = 3 sin(2t) + t cos(2t)

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Q: -ty = y*x-3 cos x

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Q: 1.- Show that the equation is exact, then solve the differential equation: sin 2y dx + (2xcos 2y –…

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Q: 24- Solve the following differential equation: (1+x²)dy + (y-tan-¹(x)) dx = 0

A: Solution to the differential equation

Q: (5) Find the solution of the following separable differential equation: dy -x(y + 2)², y(0) = 2. dx

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Q: y = C1 e2x c cos 3x + c2 e2* sin 3x

A: The general solution is given as , y=c1e2xcos3x+c2e2xsin3x find differential equation.

Q: (y² cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: The standard form of the following linear differential equation sin x = (cos x)y + xsin x + 2 is: dx

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Q: Find the general solution for the following differential equation: y'' -3y' +2y =cos⁡〖e^(-x) 〗

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Q: y tan x dx – In cos x dy = 0

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Q: Find the solution of the following Differential Equations .by Exact sin(ß y)dx =-ßcos(ß y)dy

A: Let us discuss what is exact differential equation. An ordinary differential equation of the form…

Q: Find the general solution of the following differential equation:  ( 2xy + sin2x - tany ) dx + ( x2…

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Q: 1. Solve the first order linear differential equation. dy --(cot x) y = sin' x dx

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Q: Solve the differential equation dy 2 sin 2 у -cot x e dx

A: We are given an ODE and we need to find the general solution for the same. We will proceed by…

Q: Find the general and special solution of .the differential equations X cos^2 Y dx +tany dy=0

A: By Separation of variable we can solve the problem.

Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

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Q: Find the general solution of the following ordinary differential equation (x-2y-3)dx+ (2x+y-1)dy-0…

A: x-2y-3dx + 2x+y-1dy =0 --------(1) Now solve in the form of  dydx So we get  dydx=-x+2y+32x+y-1 now…

Q: 1) Find the general solution to the following differential equation. dy + y (cotx) = 5e* dx

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Given a differential equation dx with the initial condition, y cos (2x) 8

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Q: obtain the solution of the following differential equation y'=cos^2x cosy

A: Given differential equation is: dydx=cos2xcosy Use variable separable to get solution of…

Q: How does the following differential equation (y+2xy*) dx + (1+ 3.x²y² + x) dy = 0 satisfy the…

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Find the general solution of the first-order linear differential equation (y + 1) cos x dx − dy = 0…

A: We have to find general solution of the first-order linear differential equation: y+1 cos x dx-dy=0…

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.