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Popular >

y^'=x+7y

Solution

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

Solution

y = - \frac{7 x + 1}{49} + c_{1} e^{7 x}

Solution steps

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

Solve linear ODE:

y = - \frac{7 x + 1}{49} + c_{1} e^{7 x}

y = - \frac{7 x + 1}{49} + c_{1} e^{7 x}

Popular Examples

integral of (cos(8x))/(1+sin^2(8x))

\int \frac{cos ( 8 x )}{1 + sin ^{2} ( 8 x )} d x

integral of x/(sqrt(1+3x^2))

\int \frac{x}{1 + 3 x ^{2}} d x

d/(dy)(sqrt(x^2+4xy+y^6)-8)

\frac{d}{d y} (x^{2} + 4 x y + y^{6} - 8)

derivative of x^3+6x^2+6x

\frac{d}{d x} (x^{3} + 6 x^{2} + 6 x)

f(x)=sqrt(2-5x^2)

f (x) = 2 - 5 x^{2}

Frequently Asked Questions (FAQ)

What is the solution for y^'=x+7y ?
The solution for y^'=x+7y is y=-(7x+1)/(49)+c_{1}e^{7x}