Solve the initial value problem, dy y 1 y (1) =1 dx Use (i) Third order Runge Kutta method to find y (1.1)

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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

A: Given the differential equation

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

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

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

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Q: The y' for y = (x³ +

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Q: Calculate dy/dx. You need not expand your answer. y =x2.3/9+2/x2.3)(9x − 1) Answer ----->dy/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: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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

A: Answer and explanation is given below...

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: olve (2xy*e +

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Classify and Solve the following x(dy/dx) + 4y = (x^4)(y^2) subject to y(1) = 1

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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.