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Popular >

y^'=7x+y,y(0)=9

Solution

y^{^{'}} = 7 x + y, y (0) = 9

Solution

y = - 7 (x + 1) + 16 e^{x}

Solution steps

y^{'} (x) = 7 x + y

Solve linear ODE:

y = - 7 (x + 1) + 16 e^{x}

y = - 7 (x + 1) + 16 e^{x}

Popular Examples

integral of 3x^2-12

\int 3 x^{2} - 12 d x

integral of x^9sqrt(x^5+2)

\int x^{9} x^{5} + 2 d x

xy^'-y^2ln(x)+y=0

x y^{^{'}} - y^{2} ln (x) + y = 0

limit as x approaches 3 of 7x-6

x \to 3 lim (7 x - 6)

derivative of sin(x)derivative of

sin (x)

Frequently Asked Questions (FAQ)

What is the solution for y^'=7x+y,y(0)=9 ?
The solution for y^'=7x+y,y(0)=9 is y=-7(x+1)+16e^x