Q1] By using the Euler's method solve the differential equation +y = 2x, y(0) = 1 for the range x=0(0.2)0.6² dy dx h 2₁=yothy!

Q: Use an appropriate substitution (4-5 a cos² to solve the differential equation (-) ) ª dx - x dy =…

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Q: Q. Find general Solution of the differential equation

A: We need to solve t2y''+3ty'-3y=t-1 We use Cauchy Euler equation to solve this: Let t=ez  ⇒z=logt…

Q: Solve the following differential equations: ylnx(dy/dx) = ((y + 1)/x)^(2)

A: Given the differential equation :ylnx(dydx​)=(xy+1​)2 The given differential equation can be written…

Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: (x + Y) dx +(y? + Inx) dy 0, is exact differential equation.

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Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?  I…

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Q: a) Solve the differential equation UTM dy dr sin z y", y(7) = 0. UTMU UTMUTM UTM

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Q: C1. (a) Solve the nonlinear differential equation x'y-x = v" cos x dx %3D

A: That's easy. Have a great day!!!

Q: What is the value of m in the equation m+) dx + (G+:) dy = 0 to complete the differential equation?…

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Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

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Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters