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Popular >

y^'=9x+y,y(0)=3

Solution

y^{^{'}} = 9 x + y, y (0) = 3

Solution

y = - 9 (x + 1) + 12 e^{x}

Solution steps

y^{'} (x) = 9 x + y

Solve linear ODE:

y = - 9 (x + 1) + 12 e^{x}

y = - 9 (x + 1) + 12 e^{x}

Popular Examples

derivative of y=x^2sqrt(9-x^2)derivative of

y = x^{2} 9 - x^{2}

limit as x approaches 0 of (7x)/(sin(x))

x \to 0 lim (\frac{7 x}{sin ( x )})

derivative of f(x)=sqrt(5x+6)derivative of

f (x) = 5 x + 6

integral of sqrt(cos(2x))

\int cos (2 x) d x

(dP)/(dt)=-1/2 P+t

\frac{d P}{d t} = - \frac{1}{2} P + t

Frequently Asked Questions (FAQ)

What is the solution for y^'=9x+y,y(0)=3 ?
The solution for y^'=9x+y,y(0)=3 is y=-9(x+1)+12e^x