Solve the initial value problem y'=x²y + x³y", y/o)=1 Study

Q: Solve y"+2xy' = X Y(0) =1, y'10) = 2. Use erf(x) in your solution.

A: Given equation is, Now, substituting then,

Q: 8) Solve the initial value problem: y' = 5e +9x²- 7x y(0)=9

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Q: Solve y" +5y' = (2x+1)e" -5x

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Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

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Q: Use separation of variables to solved = e* (1 - y)², given y(0) = 0 Oy=-(e² - 1) + Oy=1-e-* Oy =…

A: Given differential equation dydx = ex( 1 - y )2 y( 0 ) = 0

Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: Q1) Solve the differential euqation  dy/dx = xe^(-y) where y(1) = ln(1/2)

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Q: Solve y" -8y' +16y = 0

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Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: 11) Use y = - -az" to solve (3-2²)y" - 3xy' - y = 0. 1=0

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Q: solve and find general solution y' + y/3 = e^(x)y^(4)

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Q: Solve the initial value problem: wA'+(1-3w)A = -6w,     A(ln5)=5,    w>0

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Q: Find the general solution of y''-6y'+9y=4e^(3x) + (e^(3x))/x

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Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

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