• Find solutions using EXact Iquations 1.) solve lysinx t xycosx) dx + (xsinx +1 )dy=D0 tind the general solution using > M(x ,y) dx N (Xiy) dy and %3D

Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: apply 4th order Runge-Kutta to solve the following value problem y = x^2 + y for h = 0.1, y(1)=1 and…

A: The given function is fx,y=x2+y And x0=1,y0=0.1 since the step size h is given as h=0.1. Now to find…

Q: Integrating Factor by Inspection: (6) 2x*dy = y(3x* + y²)dx = 0 .5

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Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

A: To find the slope of the tangent line to the curve  at the point .

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: dy Find for each equation and simplify fully. dx (17x² + B) (11x – A)° (а). у- (5x+4)°

A: Given                             y=17x2+B511x-A85x+46; A=4, B=8 we have to find derivative of the…

Q: Solve (Vr) = sec (Vx) using variable separable form. dy dx

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Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: x dy (1 + 5x²y*) = 29 dx

A: P

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

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Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: we have been given the slope of the equation xy=x-2y,at (4,1) it can be written as  xy=x-2y

Q: (b) Solve the equation 2 = dy %3D -x+/x²+yz y(-3) = 4 for -3 <x57 taking the dx y step-length h =…

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: NON EXACT DE Solve: x(y^3 - x)dy-y(y^3 + x)dx=0

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...