Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the particular solution with the initial condition: a) y (-1) = -2 b) y (-1) = 0 c) y (0) = -1

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A: w(x,y,z)=xyzx=sinty=costz=t2fromchain rule we know dwdt=∂w∂xdxdt+∂w∂ydydt+∂w∂zdzdt

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Q: Find an antiderivative of 8x7+ x4 in the variable x. 23 (Note. Use C as your constant, if needed.)

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A: According to question,Given Integral,∫01ex+e0.5xe2x dx